Analysis of biodiversity data

Setup

SAD curves

We can obtain the Species Abundance Distribution for our samples To use the library {sads}, and the example data on moth abundance.

data(moths)
moths
##   [1]    1    1    1    1    1    1    1    1    1    1    1    1    1    1    1
##  [16]    1    1    1    1    1    1    1    1    1    1    1    1    1    1    1
##  [31]    1    1    1    1    1    2    2    2    2    2    2    2    2    2    2
##  [46]    2    3    3    3    3    3    3    3    3    3    3    3    3    3    3
##  [61]    3    4    4    4    4    4    4    4    4    4    4    4    4    4    4
##  [76]    5    5    5    5    5    5    5    5    5    5    6    6    6    6    6
##  [91]    6    6    6    6    6    6    7    7    7    7    7    8    8    8    8
## [106]    8    8    9    9    9    9   10   10   10   10   11   11   12   12   13
## [121]   13   13   13   13   14   14   15   15   15   15   16   16   16   17   17
## [136]   17   18   18   18   19   19   19   20   20   20   20   21   22   22   22
## [151]   23   23   23   24   25   25   25   26   27   28   28   28   29   29   32
## [166]   34   34   36   36   36   37   37   43   43   44   44   45   49   49   49
## [181]   51   51   51   51   52   53   54   54   57   58   58   60   60   60   61
## [196]   64   67   73   76   76   78   84   89   96   99  109  112  120  122  129
## [211]  135  141  148  149  151  154  177  181  187  190  199  211  221  226  235
## [226]  239  244  246  282  305  306  333  464  560  572  589  604  743  823 2349
?moths

Preston plot

First, we are going to obtain the Preston plot, also known as octaves. This plot represents the number of species in classes of logarithm of abundances at base 2.

moths.oc <- octav(moths)
moths.oc
##    octave upper Freq
## 1       0     1   35
## 2       1     2   11
## 3       2     4   29
## 4       3     8   32
## 5       4    16   26
## 6       5    32   32
## 7       6    64   31
## 8       7   128   13
## 9       8   256   19
## 10      9   512    5
## 11     10  1024    6
## 12     11  2048    0
## 13     12  4096    1
## 14     13  8192    0
plot(moths.oc)

Whittaker diagram

We can also obtain the Whittaker plot for our data. This is the rank-abundance diagram

# for the moths data
moths.rad <- rad(moths)
plot(moths.rad, ylab="Number of individuals")

Species Abundance Distributions: fitting curves

We are going to fit some curves to the rank abundance plot

# build the model
moths.ge <- fitsad(x=moths, sad="geom") # geometric distribution
moths.ls <- fitsad(x=moths, sad="ls") # log series distribution
moths.ln <- fitsad(x=moths, sad="lnorm") #log-normal distribution

# get rank abundance objects
moths.ge.rad <- radpred(moths.ge)
moths.ls.rad <- radpred(moths.ls)
moths.ln.rad <- radpred(moths.ln)


# Plot the curves
plot(moths.ln.rad)

plot(moths.ln.rad, xlab = "Rank", ylab = "Abundance", log = "y",
     type = "l", col = "green", lty = 1, lwd = 6)

# We can superimpose the curve to the rank plot
plot(moths.rad)
lines(moths.ge.rad, col="red")
lines(moths.ls.rad, col="blue")
lines(moths.ln.rad, col="green")
legend("topright",c("Geometric", "Logseries", "lognormal"),lty=1, col=c("red", "blue", "green"))

## looking at the fits
logLik(moths.ge)
## 'log Lik.' -1240.137 (df=1)
logLik(moths.ls)
## 'log Lik.' -1087.713 (df=1)
logLik(moths.ln)
## 'log Lik.' -1097.723 (df=2)

Alpha diversity

Shannon index

Let us calculate Shannon index using example data from the power point

birds1 <- data.frame(Species = c('BlueTit', 'Robin', 'Magpie',
                                     'GreatTit'),
                         Abundance = rep(9, 4))
birds1
##    Species Abundance
## 1  BlueTit         9
## 2    Robin         9
## 3   Magpie         9
## 4 GreatTit         9
## now let us get the pi, ln(pi), N and S to calculate Shannon index
N <- sum(birds1$Abundance)
S <- nrow(birds1)

pi <- birds1$Abundance/N
lnpi <- log(pi)

H <- -sum(pi*lnpi)
H
## [1] 1.386294

Community structure: {vegan} package

vegdist() function allows calculating multiple community dissimilarity indices.

# 1. transpose the data
birds1.transpose <- as.data.frame(t(birds1[, -1]))
colnames(birds1.transpose) <- birds1$Species
birds1.transpose
##   BlueTit Robin Magpie GreatTit
## 1       9     9      9        9
# Get diversity value
?diversity
H_vegan <- diversity(birds1.transpose, index = "shannon")
H_vegan
## [1] 1.386294

Properties of Diversity indices

Shannon diversity vs Hill numbers

If we have two communities with no species in common, the diversity of both together should be the sum of the diversities of each one

# We create a second community with no species in common with the first one
birds2 <- data.frame(Species = c('Sparrow', 'Dove', 'Crow'),
                         Abundance = c(4,5,20))
birds2 
##   Species Abundance
## 1 Sparrow         4
## 2    Dove         5
## 3    Crow        20
# the transpose matrix for the analysis
birds2.transpose <- as.data.frame(t(birds2[, -1]))
colnames(birds2.transpose) <- birds2$Species
birds2.transpose
##   Sparrow Dove Crow
## 1       4    5   20
# Both communities in the same table 
# transpose data and get sums 

birds.both <- merge(birds1, birds2, by = 'Species', all = T)
birds.both$Abundance.x[is.na(birds.both$Abundance.x)] <- 0
birds.both$Abundance.y[is.na(birds.both$Abundance.y)] <- 0
birds.both
##    Species Abundance.x Abundance.y
## 1  BlueTit           9           0
## 2     Crow           0          20
## 3     Dove           0           5
## 4 GreatTit           9           0
## 5   Magpie           9           0
## 6    Robin           9           0
## 7  Sparrow           0           4
birds.all <- rowSums(birds.both[,2:3])
birds.all
## [1]  9 20  5  9  9  9  4
both.trans <- as.data.frame(t(birds.both[, -1]))

colnames(both.trans) <- birds.both$Species
rownames(both.trans) <- c("birds1", "birds2")
both.trans
##        BlueTit Crow Dove GreatTit Magpie Robin Sparrow
## birds1       9    0    0        9      9     9       0
## birds2       0   20    5        0      0     0       4
all.trans <- colSums(both.trans)

# shannon diversity for each sample and for the sum
H1 <- diversity(both.trans, index = "shannon")
H2 <- diversity(all.trans, index = "shannon")

H1
##    birds1    birds2 
## 1.3862944 0.8325713
H2
## [1] 1.826586
# Hill number order 1 (library iNEXT)
HN1.birds1 <- iNEXT(birds1$Abundance)
HN1.birds1$AsyEst
##                   Observed Estimator  Est_s.e. 95% Lower 95% Upper
## Species Richness         4  4.000000 0.1000000  3.804004  4.195996
## Shannon diversity        4  4.174206 0.1675601  3.845795  4.502618
## Simpson diversity        4  4.375000 0.2709504  3.843947  4.906053
HN1.birds2 <- iNEXT(birds2$Abundance)
HN1.birds2$AsyEst
##                   Observed Estimator  Est_s.e. 95% Lower 95% Upper
## Species Richness  3.000000  3.000000 0.1407053  2.724223  3.275777
## Shannon diversity 2.299223  2.383059 0.2742475  1.845544  2.920574
## Simpson diversity 1.907029  1.970874 0.3260974  1.331735  2.610013
HN1.birdsboth <- iNEXT(birds.all)
HN1.birdsboth$AsyEst
##                   Observed Estimator  Est_s.e. 95% Lower 95% Upper
## Species Richness  7.000000  7.000000 0.1580955  6.690139  7.309861
## Shannon diversity 6.212639  6.513826 0.4056592  5.718749  7.308904
## Simpson diversity 5.522876  5.942857 0.6754647  4.618971  7.266744

Hill Numbers

Get the Hill Number with q = 0 (Species richness)

Load data from the library about spider samples in two locations

data(spider)
str(spider)
## List of 2
##  $ Girdled: num [1:26] 46 22 17 15 15 9 8 6 6 4 ...
##  $ Logged : num [1:37] 88 22 16 15 13 10 8 8 7 7 ...
?spider
example1 <- iNEXT(spider, q = 0, datatype = "abundance")

example1$DataInfo
##   Assemblage   n S.obs     SC f1 f2 f3 f4 f5 f6 f7 f8 f9 f10
## 1    Girdled 168    26 0.9289 12  4  0  1  0  2  0  1  1   0
## 2     Logged 252    37 0.9446 14  4  4  3  1  0  3  2  0   1
#Show a summary of the data with diversity estimates in rarefied and extrapolated samples
example1$iNextEst
## $size_based
##    Assemblage   m        Method Order.q        qD    qD.LCL    qD.UCL        SC
## 1     Girdled   1   Rarefaction       0  1.000000  1.000000  1.000000 0.1223268
## 2     Girdled  10   Rarefaction       0  6.478617  6.004450  6.952785 0.5969308
## 3     Girdled  19   Rarefaction       0  9.450323  8.590576 10.310069 0.7380651
## 4     Girdled  28   Rarefaction       0 11.514220 10.335644 12.692795 0.8034337
## 5     Girdled  37   Rarefaction       0 13.126817 11.662174 14.591461 0.8389628
## 6     Girdled  47   Rarefaction       0 14.622424 12.860187 16.384661 0.8623491
## 7     Girdled  56   Rarefaction       0 15.802849 13.782385 17.823313 0.8760357
## 8     Girdled  65   Rarefaction       0 16.877170 14.603806 19.150534 0.8858194
## 9     Girdled  74   Rarefaction       0 17.873934 15.351529 20.396340 0.8931774
## 10    Girdled  84   Rarefaction       0 18.912360 16.117032 21.707688 0.8995141
## 11    Girdled  93   Rarefaction       0 19.797701 16.759724 22.835678 0.9041168
## 12    Girdled 102   Rarefaction       0 20.644613 17.366331 23.922894 0.9080200
## 13    Girdled 111   Rarefaction       0 21.458439 17.941582 24.975295 0.9114464
## 14    Girdled 120   Rarefaction       0 22.242813 18.488356 25.997270 0.9145496
## 15    Girdled 130   Rarefaction       0 23.082755 19.064394 27.101115 0.9177469
## 16    Girdled 139   Rarefaction       0 23.812028 19.555236 28.068819 0.9204781
## 17    Girdled 148   Rarefaction       0 24.517097 20.020030 29.014164 0.9231226
## 18    Girdled 157   Rarefaction       0 25.198592 20.458457 29.938727 0.9257162
## 19    Girdled 167   Rarefaction       0 25.928571 20.913931 30.943212 0.9285714
## 20    Girdled 168      Observed       0 26.000000 20.957604 31.042396 0.9288554
## 21    Girdled 169 Extrapolation       0 26.071145 21.000935 31.141354 0.9291383
## 22    Girdled 177 Extrapolation       0 26.630211 21.335464 31.924959 0.9313612
## 23    Girdled 186 Extrapolation       0 27.238226 21.686865 32.789586 0.9337788
## 24    Girdled 195 Extrapolation       0 27.824825 22.013035 33.636614 0.9361112
## 25    Girdled 204 Extrapolation       0 28.390763 22.315141 34.466386 0.9383615
## 26    Girdled 212 Extrapolation       0 28.877064 22.564387 35.189740 0.9402951
## 27    Girdled 221 Extrapolation       0 29.405941 22.824078 35.987803 0.9423979
## 28    Girdled 230 Extrapolation       0 29.916190 23.062863 36.769517 0.9444268
## 29    Girdled 239 Extrapolation       0 30.408468 23.281774 37.535161 0.9463841
## 30    Girdled 248 Extrapolation       0 30.883406 23.481817 38.284996 0.9482726
## 31    Girdled 256 Extrapolation       0 31.291513 23.644582 38.938443 0.9498953
## 32    Girdled 265 Extrapolation       0 31.735349 23.811622 39.659077 0.9516600
## 33    Girdled 274 Extrapolation       0 32.163554 23.962526 40.364581 0.9533626
## 34    Girdled 283 Extrapolation       0 32.576676 24.098180 41.055172 0.9550052
## 35    Girdled 292 Extrapolation       0 32.975248 24.219433 41.731062 0.9565900
## 36    Girdled 300 Extrapolation       0 33.317733 24.315782 42.319683 0.9579518
## 37    Girdled 309 Extrapolation       0 33.690203 24.412026 42.968381 0.9594328
## 38    Girdled 318 Extrapolation       0 34.049555 24.496126 43.602984 0.9608616
## 39    Girdled 327 Extrapolation       0 34.396250 24.568793 44.223706 0.9622401
## 40    Girdled 336 Extrapolation       0 34.730733 24.630708 44.830759 0.9635701
## 41     Logged   1   Rarefaction       0  1.000000  1.000000  1.000000 0.1445014
## 42     Logged  14   Rarefaction       0  8.353329  7.757072  8.949586 0.5883461
## 43     Logged  28   Rarefaction       0 13.222439 12.133930 14.310948 0.7118410
## 44     Logged  42   Rarefaction       0 16.765525 15.257998 18.273053 0.7809656
## 45     Logged  56   Rarefaction       0 19.532844 17.658266 21.407423 0.8236635
## 46     Logged  70   Rarefaction       0 21.804004 19.595072 24.012935 0.8521804
## 47     Logged  84   Rarefaction       0 23.734513 21.213115 26.255911 0.8724155
## 48     Logged  98   Rarefaction       0 25.418159 22.600742 28.235576 0.8874459
## 49     Logged 112   Rarefaction       0 26.915447 23.815345 30.015548 0.8990090
## 50     Logged 126   Rarefaction       0 28.267510 24.895727 31.639293 0.9081562
## 51     Logged 139   Rarefaction       0 29.418556 25.802496 33.034617 0.9150769
## 52     Logged 153   Rarefaction       0 30.565961 26.693504 34.438418 0.9212585
## 53     Logged 167   Rarefaction       0 31.633749 27.509857 35.757641 0.9264196
## 54     Logged 181   Rarefaction       0 32.634744 28.262456 37.007031 0.9307716
## 55     Logged 195   Rarefaction       0 33.579251 28.959781 38.198720 0.9344627
## 56     Logged 209   Rarefaction       0 34.475787 29.608625 39.342949 0.9376004
## 57     Logged 223   Rarefaction       0 35.331544 30.214549 40.448538 0.9402668
## 58     Logged 237   Rarefaction       0 36.152671 30.782165 41.523177 0.9425289
## 59     Logged 251   Rarefaction       0 36.944444 31.315300 42.573589 0.9444444
## 60     Logged 252      Observed       0 37.000000 31.352149 42.647851 0.9445706
## 61     Logged 253 Extrapolation       0 37.055429 31.388839 42.722020 0.9446965
## 62     Logged 266 Extrapolation       0 37.764657 31.851404 43.677910 0.9463075
## 63     Logged 279 Extrapolation       0 38.453226 32.287606 44.618845 0.9478715
## 64     Logged 292 Extrapolation       0 39.121736 32.698056 45.545417 0.9493900
## 65     Logged 305 Extrapolation       0 39.770774 33.083452 46.458095 0.9508643
## 66     Logged 319 Extrapolation       0 40.448609 33.471365 47.425853 0.9524039
## 67     Logged 332 Extrapolation       0 41.058995 33.807273 48.310717 0.9537904
## 68     Logged 345 Extrapolation       0 41.651601 34.120691 49.182510 0.9551365
## 69     Logged 358 Extrapolation       0 42.226944 34.412533 50.041355 0.9564433
## 70     Logged 371 Extrapolation       0 42.785528 34.683728 50.887329 0.9577121
## 71     Logged 385 Extrapolation       0 43.368897 34.953759 51.784034 0.9590372
## 72     Logged 398 Extrapolation       0 43.894216 35.185036 52.603396 0.9602304
## 73     Logged 411 Extrapolation       0 44.404233 35.398497 53.409969 0.9613889
## 74     Logged 424 Extrapolation       0 44.899393 35.595027 54.203760 0.9625136
## 75     Logged 437 Extrapolation       0 45.380130 35.775485 54.984774 0.9636056
## 76     Logged 451 Extrapolation       0 45.882197 35.952804 55.811591 0.9647460
## 77     Logged 464 Extrapolation       0 46.334305 36.102499 56.566111 0.9657729
## 78     Logged 477 Extrapolation       0 46.773243 36.238576 57.307910 0.9667699
## 79     Logged 490 Extrapolation       0 47.199395 36.361764 58.037026 0.9677379
## 80     Logged 504 Extrapolation       0 47.644456 36.480814 58.808098 0.9687488
##        SC.LCL    SC.UCL
## 1  0.09035409 0.1542995
## 2  0.54524733 0.6486144
## 3  0.69570130 0.7804290
## 4  0.76606287 0.8408046
## 5  0.80428325 0.8736424
## 6  0.82923862 0.8954597
## 7  0.84376946 0.9083020
## 8  0.85416273 0.9174760
## 9  0.86199683 0.9243580
## 10 0.86873209 0.9302960
## 11 0.87357117 0.9346623
## 12 0.87758558 0.9384544
## 13 0.88099270 0.9419001
## 14 0.88394567 0.9451536
## 15 0.88682600 0.9486679
## 16 0.88914157 0.9518146
## 17 0.89125039 0.9549948
## 18 0.89318865 0.9582438
## 19 0.89517128 0.9619716
## 20 0.89536309 0.9623478
## 21 0.89555588 0.9627208
## 22 0.89712943 0.9655931
## 23 0.89895164 0.9686060
## 24 0.90080956 0.9714128
## 25 0.90268772 0.9740352
## 26 0.90436510 0.9762250
## 27 0.90625367 0.9785422
## 28 0.90813820 0.9807153
## 29 0.91001428 0.9827540
## 30 0.91187852 0.9846666
## 31 0.91352343 0.9862671
## 32 0.91535811 0.9879619
## 33 0.91717407 0.9895512
## 34 0.91896950 0.9910410
## 35 0.92074280 0.9924372
## 36 0.92229932 0.9936043
## 37 0.92402703 0.9948385
## 38 0.92572890 0.9959943
## 39 0.92740393 0.9970763
## 40 0.92905128 0.9980889
## 41 0.10952613 0.1794766
## 42 0.54606718 0.6306250
## 43 0.67526466 0.7484174
## 44 0.74876512 0.8131660
## 45 0.79422518 0.8531018
## 46 0.82466605 0.8796947
## 47 0.84640213 0.8984289
## 48 0.86264437 0.9122474
## 49 0.87516398 0.9228539
## 50 0.88502386 0.9312885
## 51 0.89239904 0.9377548
## 52 0.89886323 0.9436538
## 53 0.90411221 0.9487271
## 54 0.90837755 0.9531657
## 55 0.91182616 0.9570993
## 56 0.91458226 0.9606186
## 57 0.91674311 0.9637905
## 58 0.91838945 0.9666683
## 59 0.91959175 0.9692971
## 60 0.91966433 0.9694769
## 61 0.91973697 0.9696561
## 62 0.92068896 0.9719261
## 63 0.92166209 0.9740810
## 64 0.92266135 0.9761187
## 65 0.92368770 0.9780408
## 66 0.92482176 0.9799861
## 67 0.92589878 0.9816820
## 68 0.92699565 0.9832773
## 69 0.92810903 0.9847776
## 70 0.92923559 0.9861886
## 71 0.93045990 0.9876145
## 72 0.93160391 0.9888569
## 73 0.93275199 0.9900258
## 74 0.93390164 0.9911256
## 75 0.93505063 0.9921605
## 76 0.93628491 0.9932071
## 77 0.93742623 0.9941196
## 78 0.93856126 0.9949786
## 79 0.93968857 0.9957873
## 80 0.94089250 0.9966052
## 
## $coverage_based
##    Assemblage        SC   m        Method Order.q        qD     qD.LCL
## 1     Girdled 0.1223268   1   Rarefaction       0  1.000000  0.8796848
## 2     Girdled 0.5969305  10   Rarefaction       0  6.478611  5.1655748
## 3     Girdled 0.7380650  19   Rarefaction       0  9.450319  7.5389219
## 4     Girdled 0.8034337  28   Rarefaction       0 11.514219  9.0031827
## 5     Girdled 0.8389628  37   Rarefaction       0 13.126816  9.9652653
## 6     Girdled 0.8623492  47   Rarefaction       0 14.622425 10.6912230
## 7     Girdled 0.8760358  56   Rarefaction       0 15.802851 11.1602703
## 8     Girdled 0.8858194  65   Rarefaction       0 16.877170 11.5303264
## 9     Girdled 0.8931774  74   Rarefaction       0 17.873934 11.8460416
## 10    Girdled 0.8995141  84   Rarefaction       0 18.912361 12.1517237
## 11    Girdled 0.9041168  93   Rarefaction       0 19.797701 12.4221459
## 12    Girdled 0.9080200 102   Rarefaction       0 20.644611 12.6976939
## 13    Girdled 0.9114464 111   Rarefaction       0 21.458439 12.9576617
## 14    Girdled 0.9145496 120   Rarefaction       0 22.242813 13.2004454
## 15    Girdled 0.9177469 130   Rarefaction       0 23.082756 13.4495052
## 16    Girdled 0.9204781 139   Rarefaction       0 23.812027 13.6585614
## 17    Girdled 0.9231226 148   Rarefaction       0 24.517096 13.8466753
## 18    Girdled 0.9257162 157   Rarefaction       0 25.198591 14.0118583
## 19    Girdled 0.9285714 166   Rarefaction       0 25.867399 14.1110236
## 20    Girdled 0.9288554 168      Observed       0 26.000000 14.1852401
## 21    Girdled 0.9291383 169 Extrapolation       0 26.071145 14.1957328
## 22    Girdled 0.9313612 177 Extrapolation       0 26.630211 14.3049029
## 23    Girdled 0.9337788 186 Extrapolation       0 27.238226 14.4238074
## 24    Girdled 0.9361112 195 Extrapolation       0 27.824825 14.5390557
## 25    Girdled 0.9383615 204 Extrapolation       0 28.390763 14.6510379
## 26    Girdled 0.9402951 212 Extrapolation       0 28.877064 14.7468810
## 27    Girdled 0.9423979 221 Extrapolation       0 29.405941 14.8509206
## 28    Girdled 0.9444268 230 Extrapolation       0 29.916190 14.9496821
## 29    Girdled 0.9463841 239 Extrapolation       0 30.408468 15.0420143
## 30    Girdled 0.9482726 248 Extrapolation       0 30.883406 15.1349735
## 31    Girdled 0.9498953 256 Extrapolation       0 31.291513 15.2082618
## 32    Girdled 0.9516600 265 Extrapolation       0 31.735349 15.2845097
## 33    Girdled 0.9533626 274 Extrapolation       0 32.163554 15.3553569
## 34    Girdled 0.9550052 283 Extrapolation       0 32.576676 15.4198557
## 35    Girdled 0.9565900 292 Extrapolation       0 32.975248 15.4790029
## 36    Girdled 0.9579518 300 Extrapolation       0 33.317733 15.5277390
## 37    Girdled 0.9594328 309 Extrapolation       0 33.690203 15.5811345
## 38    Girdled 0.9608616 318 Extrapolation       0 34.049555 15.6293582
## 39    Girdled 0.9622401 327 Extrapolation       0 34.396250 15.6733684
## 40    Girdled 0.9635701 336 Extrapolation       0 34.730733 15.7135560
## 41     Logged 0.1445014   1   Rarefaction       0  1.000000  0.8540492
## 42     Logged 0.5883460  14   Rarefaction       0  8.353325  6.4859153
## 43     Logged 0.7118410  28   Rarefaction       0 13.222439 10.6343476
## 44     Logged 0.7809655  42   Rarefaction       0 16.765522 13.5411176
## 45     Logged 0.8236635  56   Rarefaction       0 19.532847 15.6392166
## 46     Logged 0.8521804  70   Rarefaction       0 21.804005 17.2076014
## 47     Logged 0.8724155  84   Rarefaction       0 23.734512 18.4333230
## 48     Logged 0.8874459  98   Rarefaction       0 25.418157 19.4055451
## 49     Logged 0.8990090 112   Rarefaction       0 26.915446 20.1311415
## 50     Logged 0.9081562 126   Rarefaction       0 28.267511 20.6071690
## 51     Logged 0.9150769 139   Rarefaction       0 29.418557 20.9328306
## 52     Logged 0.9212585 153   Rarefaction       0 30.565959 21.1791424
## 53     Logged 0.9264196 167   Rarefaction       0 31.633750 21.2954918
## 54     Logged 0.9307716 181   Rarefaction       0 32.634745 21.3816902
## 55     Logged 0.9344627 195   Rarefaction       0 33.579250 21.4873502
## 56     Logged 0.9376004 209   Rarefaction       0 34.475786 21.6321265
## 57     Logged 0.9402668 223   Rarefaction       0 35.331543 21.8228129
## 58     Logged 0.9425289 237   Rarefaction       0 36.152671 22.0595980
## 59     Logged 0.9444444 250   Rarefaction       0 36.892629 22.2901259
## 60     Logged 0.9445706 252      Observed       0 37.000000 22.3650750
## 61     Logged 0.9446965 253 Extrapolation       0 37.055429 22.3888346
## 62     Logged 0.9463075 266 Extrapolation       0 37.764657 22.6641379
## 63     Logged 0.9478715 279 Extrapolation       0 38.453226 22.9259194
## 64     Logged 0.9493900 292 Extrapolation       0 39.121736 23.1758310
## 65     Logged 0.9508643 305 Extrapolation       0 39.770774 23.4125465
## 66     Logged 0.9524039 319 Extrapolation       0 40.448609 23.6491830
## 67     Logged 0.9537904 332 Extrapolation       0 41.058995 23.8679591
## 68     Logged 0.9551365 345 Extrapolation       0 41.651601 24.0660249
## 69     Logged 0.9564433 358 Extrapolation       0 42.226944 24.2507385
## 70     Logged 0.9577121 371 Extrapolation       0 42.785528 24.4243883
## 71     Logged 0.9590372 385 Extrapolation       0 43.368897 24.5991088
## 72     Logged 0.9602304 398 Extrapolation       0 43.894216 24.7509894
## 73     Logged 0.9613889 411 Extrapolation       0 44.404233 24.8941624
## 74     Logged 0.9625136 424 Extrapolation       0 44.899393 25.0281384
## 75     Logged 0.9636056 437 Extrapolation       0 45.380130 25.1539246
## 76     Logged 0.9647460 451 Extrapolation       0 45.882197 25.2809768
## 77     Logged 0.9657729 464 Extrapolation       0 46.334305 25.3918473
## 78     Logged 0.9667699 477 Extrapolation       0 46.773243 25.4964369
## 79     Logged 0.9677379 490 Extrapolation       0 47.199395 25.5952262
## 80     Logged 0.9687488 504 Extrapolation       0 47.644456 25.6956257
##       qD.UCL
## 1   1.120315
## 2   7.791648
## 3  11.361715
## 4  14.025255
## 5  16.288367
## 6  18.553627
## 7  20.445431
## 8  22.224013
## 9  23.901827
## 10 25.672999
## 11 27.173256
## 12 28.591528
## 13 29.959216
## 14 31.285182
## 15 32.716007
## 16 33.965493
## 17 35.187516
## 18 36.385323
## 19 37.623775
## 20 37.814760
## 21 37.946556
## 22 38.955520
## 23 40.052644
## 24 41.110594
## 25 42.130489
## 26 43.007246
## 27 43.960961
## 28 44.882698
## 29 45.774921
## 30 46.631839
## 31 47.374763
## 32 48.186189
## 33 48.971751
## 34 49.733496
## 35 50.471492
## 36 51.107727
## 37 51.799272
## 38 52.469752
## 39 53.119131
## 40 53.747911
## 41  1.145951
## 42 10.220734
## 43 15.810531
## 44 19.989926
## 45 23.426478
## 46 26.400409
## 47 29.035701
## 48 31.430769
## 49 33.699750
## 50 35.927852
## 51 37.904283
## 52 39.952775
## 53 41.972008
## 54 43.887799
## 55 45.671150
## 56 47.319445
## 57 48.840273
## 58 50.245743
## 59 51.495132
## 60 51.634925
## 61 51.722024
## 62 52.865177
## 63 53.980532
## 64 55.067642
## 65 56.129001
## 66 57.248035
## 67 58.250031
## 68 59.237177
## 69 60.203150
## 70 61.146668
## 71 62.138685
## 72 63.037443
## 73 63.914304
## 74 64.770648
## 75 65.606335
## 76 66.483417
## 77 67.276763
## 78 68.050050
## 79 68.803564
## 80 69.593287
# show asymptotic estimates
example1$AsyEst
##   Assemblage         Diversity  Observed Estimator       s.e.       LCL
## 1    Girdled  Species richness 26.000000 43.892857 21.7461472 26.000000
## 2    Girdled Shannon diversity 12.059650 13.826253  1.4831354 10.919361
## 3    Girdled Simpson diversity  7.840000  8.174825  1.0335010  6.149200
## 4     Logged  Species richness 37.000000 61.402778 27.8368984 37.000000
## 5     Logged Shannon diversity 14.421002 16.337069  1.6394053 13.123893
## 6     Logged Simpson diversity  6.761499  6.920350  0.9124127  5.132054
##          UCL
## 1  86.514522
## 2  16.733145
## 3  10.200450
## 4 115.962096
## 5  19.550244
## 6   8.708646

Rarefaction/extrapolation

Get new values

We can specify the sample size for which we want to rarefy/extrapolate For Species richness, the extrapolation is reliable up to double the reference sample. For q = 1 or 2, the extrapolation can be extended to the asymptote.

We run the code simultaneously for the three Hill numbers:

# We define the number of samples size that we want to use for estimation
m <- c(1, 50, 100, 200, 400)
example2 <- iNEXT(spider, q = c(0,1,2), datatype = "abundance", size = m)
example2$iNextEst 
## $size_based
##    Assemblage   m        Method Order.q        qD    qD.LCL    qD.UCL        SC
## 1     Girdled   1   Rarefaction       0  1.000000  1.000000  1.000000 0.1223268
## 2     Girdled  50   Rarefaction       0 15.030098 13.035643 17.024554 0.8674807
## 3     Girdled 100   Rarefaction       0 20.459426 17.229599 23.689253 0.9072004
## 4     Girdled 167   Rarefaction       0 25.928571 21.333771 30.523372 0.9285714
## 5     Girdled 168      Observed       0 26.000000 21.384924 30.615076 0.9288554
## 6     Girdled 169 Extrapolation       0 26.071145 21.435754 30.706535 0.9291383
## 7     Girdled 200 Extrapolation       0 28.141739 22.852061 33.431417 0.9373713
## 8     Girdled 400 Extrapolation       0 36.792837 26.284553 47.301121 0.9717693
## 9     Girdled   1   Rarefaction       1  1.000000  1.000000  1.000000 0.1223268
## 10    Girdled  50   Rarefaction       1  9.939329  8.339191 11.539467 0.8674807
## 11    Girdled 100   Rarefaction       1 11.266546  9.286195 13.246898 0.9072004
## 12    Girdled 167   Rarefaction       1 12.051422  9.841489 14.261355 0.9285714
## 13    Girdled 168      Observed       1 12.059650  9.847321 14.271980 0.9288554
## 14    Girdled 169 Extrapolation       1 12.067840  9.853126 14.282555 0.9291383
## 15    Girdled 200 Extrapolation       1 12.303742 10.020019 14.587464 0.9373713
## 16    Girdled 400 Extrapolation       1 13.225154 10.654618 15.795690 0.9717693
## 17    Girdled   1   Rarefaction       2  1.000000  1.000000  1.000000 0.1223268
## 18    Girdled  50   Rarefaction       2  7.148973  5.743048  8.554898 0.8674807
## 19    Girdled 100   Rarefaction       2  7.627561  6.019002  9.236120 0.9072004
## 20    Girdled 167   Rarefaction       2  7.838078  6.136167  9.539988 0.9285714
## 21    Girdled 168      Observed       2  7.840000  6.137225  9.542775 0.9288554
## 22    Girdled 169 Extrapolation       2  7.841901  6.138271  9.545530 0.9291383
## 23    Girdled 200 Extrapolation       2  7.891717  6.165607  9.617827 0.9373713
## 24    Girdled 400 Extrapolation       2  8.030777  6.241145  9.820408 0.9717693
## 25     Logged   1   Rarefaction       0  1.000000  1.000000  1.000000 0.1445014
## 26     Logged  50   Rarefaction       0 18.420022 16.659747 20.180297 0.8076088
## 27     Logged 100   Rarefaction       0 25.642342 22.691252 28.593431 0.8892800
## 28     Logged 200   Rarefaction       0 33.904551 29.143171 38.665931 0.9356422
## 29     Logged 251   Rarefaction       0 36.944444 31.316665 42.572224 0.9444444
## 30     Logged 252      Observed       0 37.000000 31.354787 42.645213 0.9445706
## 31     Logged 253 Extrapolation       0 37.055429 31.392757 42.718102 0.9446965
## 32     Logged 400 Extrapolation       0 43.973665 35.423268 52.524062 0.9604109
## 33     Logged   1   Rarefaction       1  1.000000  1.000000  1.000000 0.1445014
## 34     Logged  50   Rarefaction       1 10.747324  9.143632 12.351017 0.8076088
## 35     Logged 100   Rarefaction       1 12.648884 10.574537 14.723231 0.8892800
## 36     Logged 200   Rarefaction       1 14.053826 11.587569 16.520083 0.9356422
## 37     Logged 251   Rarefaction       1 14.415055 11.842226 16.987883 0.9444444
## 38     Logged 252      Observed       1 14.421002 11.846407 16.995596 0.9445706
## 39     Logged 253 Extrapolation       1 14.426930 11.850574 17.003285 0.9446965
## 40     Logged 400 Extrapolation       1 15.125810 12.342718 17.908903 0.9604109
## 41     Logged   1   Rarefaction       2  1.000000  1.000000  1.000000 0.1445014
## 42     Logged  50   Rarefaction       2  6.187685  4.908612  7.466758 0.8076088
## 43     Logged 100   Rarefaction       2  6.533542  5.087569  7.979514 0.8892800
## 44     Logged 200   Rarefaction       2  6.721385  5.179960  8.262811 0.9356422
## 45     Logged 251   Rarefaction       2  6.760881  5.198948  8.322813 0.9444444
## 46     Logged 252      Observed       2  6.761499  5.199244  8.323754 0.9445706
## 47     Logged 253 Extrapolation       2  6.762113  5.199538  8.324687 0.9446965
## 48     Logged 400 Extrapolation       2  6.819417  5.226808  8.412025 0.9604109
##        SC.LCL    SC.UCL
## 1  0.09055209 0.1541015
## 2  0.83371596 0.9012454
## 3  0.88058642 0.9338143
## 4  0.89991595 0.9572269
## 5  0.90010486 0.9576060
## 6  0.90029326 0.9579834
## 7  0.90602960 0.9687130
## 8  0.93930811 1.0000000
## 9  0.09055209 0.1541015
## 10 0.83371596 0.9012454
## 11 0.88058642 0.9338143
## 12 0.89991595 0.9572269
## 13 0.90010486 0.9576060
## 14 0.90029326 0.9579834
## 15 0.90602960 0.9687130
## 16 0.93930811 1.0000000
## 17 0.09055209 0.1541015
## 18 0.83371596 0.9012454
## 19 0.88058642 0.9338143
## 20 0.89991595 0.9572269
## 21 0.90010486 0.9576060
## 22 0.90029326 0.9579834
## 23 0.90602960 0.9687130
## 24 0.93930811 1.0000000
## 25 0.11066484 0.1783379
## 26 0.77621603 0.8390016
## 27 0.86477224 0.9137877
## 28 0.91311820 0.9581662
## 29 0.92026654 0.9686223
## 30 0.92034851 0.9687928
## 31 0.92043031 0.9689628
## 32 0.93252527 0.9882965
## 33 0.11066484 0.1783379
## 34 0.77621603 0.8390016
## 35 0.86477224 0.9137877
## 36 0.91311820 0.9581662
## 37 0.92026654 0.9686223
## 38 0.92034851 0.9687928
## 39 0.92043031 0.9689628
## 40 0.93252527 0.9882965
## 41 0.11066484 0.1783379
## 42 0.77621603 0.8390016
## 43 0.86477224 0.9137877
## 44 0.91311820 0.9581662
## 45 0.92026654 0.9686223
## 46 0.92034851 0.9687928
## 47 0.92043031 0.9689628
## 48 0.93252527 0.9882965
## 
## $coverage_based
##    Assemblage        SC   m        Method Order.q        qD     qD.LCL
## 1     Girdled 0.1223268   1   Rarefaction       0  1.000000  0.8896523
## 2     Girdled 0.8674806  50   Rarefaction       0 15.030097 10.9512811
## 3     Girdled 0.9072004 100   Rarefaction       0 20.459428 13.2817894
## 4     Girdled 0.9285714 166   Rarefaction       0 25.867399 14.1090779
## 5     Girdled 0.9288554 168      Observed       0 26.000000 14.1644155
## 6     Girdled 0.9291383 169 Extrapolation       0 26.071145 14.1570187
## 7     Girdled 0.9373713 200 Extrapolation       0 28.141739 13.9177087
## 8     Girdled 0.9717693 400 Extrapolation       0 36.792837 10.7548871
## 9     Girdled 0.1223268   1   Rarefaction       1  1.000000  0.8940067
## 10    Girdled 0.8674806  50   Rarefaction       1  9.939329  7.8403356
## 11    Girdled 0.9072004 100   Rarefaction       1 11.266547  8.7876955
## 12    Girdled 0.9285714 166   Rarefaction       1 12.044343  9.3545242
## 13    Girdled 0.9288554 168      Observed       1 12.059650  9.3672729
## 14    Girdled 0.9291383 169 Extrapolation       1 12.067840  9.3734592
## 15    Girdled 0.9373713 200 Extrapolation       1 12.303742  9.5531334
## 16    Girdled 0.9717693 400 Extrapolation       1 13.225154 10.3327462
## 17    Girdled 0.1223268   1   Rarefaction       2  1.000000  0.9001157
## 18    Girdled 0.8674806  50   Rarefaction       2  7.148972  5.6179681
## 19    Girdled 0.9072004 100   Rarefaction       2  7.627561  5.9478029
## 20    Girdled 0.9285714 166   Rarefaction       2  7.836419  6.0986624
## 21    Girdled 0.9288554 168      Observed       2  7.840000  6.1014412
## 22    Girdled 0.9291383 169 Extrapolation       2  7.841901  6.1028218
## 23    Girdled 0.9373713 200 Extrapolation       2  7.891717  6.1378754
## 24    Girdled 0.9717693 400 Extrapolation       2  8.030777  6.2392969
## 25     Logged 0.1445014   1   Rarefaction       0  1.000000  0.8328037
## 26     Logged 0.8076089  50   Rarefaction       0 18.420025 14.8001782
## 27     Logged 0.8892800 100   Rarefaction       0 25.642343 19.6198938
## 28     Logged 0.9356422 200   Rarefaction       0 33.904552 22.3693859
## 29     Logged 0.9444444 250   Rarefaction       0 36.892629 23.1327071
## 30     Logged 0.9445706 252      Observed       0 37.000000 23.2006516
## 31     Logged 0.9446965 253 Extrapolation       0 37.055429 23.2199820
## 32     Logged 0.9604109 400 Extrapolation       0 43.973665 24.0837612
## 33     Logged 0.1445014   1   Rarefaction       1  1.000000  0.8400415
## 34     Logged 0.8076089  50   Rarefaction       1 10.747325  8.7020342
## 35     Logged 0.8892800 100   Rarefaction       1 12.648884 10.1159986
## 36     Logged 0.9356422 200   Rarefaction       1 14.053826 11.1553116
## 37     Logged 0.9444444 250   Rarefaction       1 14.409488 11.4400802
## 38     Logged 0.9445706 252      Observed       1 14.421002 11.4505447
## 39     Logged 0.9446965 253 Extrapolation       1 14.426930 11.4557979
## 40     Logged 0.9604109 400 Extrapolation       1 15.125810 12.0569159
## 41     Logged 0.1445014   1   Rarefaction       2  1.000000  0.8500702
## 42     Logged 0.8076089  50   Rarefaction       2  6.187685  4.8609609
## 43     Logged 0.8892800 100   Rarefaction       2  6.533542  5.0412692
## 44     Logged 0.9356422 200   Rarefaction       2  6.721385  5.1460634
## 45     Logged 0.9444444 250   Rarefaction       2  6.760301  5.1737285
## 46     Logged 0.9445706 252      Observed       2  6.761499  5.1747913
## 47     Logged 0.9446965 253 Extrapolation       2  6.762113  5.1752633
## 48     Logged 0.9604109 400 Extrapolation       2  6.819417  5.2196909
##       qD.UCL
## 1   1.110348
## 2  19.108913
## 3  27.637067
## 4  37.625721
## 5  37.835584
## 6  37.985270
## 7  42.365768
## 8  62.830788
## 9   1.105993
## 10 12.038322
## 11 13.745398
## 12 14.734162
## 13 14.752028
## 14 14.762222
## 15 15.054350
## 16 16.117562
## 17  1.099884
## 18  8.679977
## 19  9.307319
## 20  9.574176
## 21  9.578559
## 22  9.580979
## 23  9.645558
## 24  9.822256
## 25  1.167196
## 26 22.039871
## 27 31.664792
## 28 45.439717
## 29 50.652550
## 30 50.799348
## 31 50.890877
## 32 63.863569
## 33  1.159959
## 34 12.792617
## 35 15.181770
## 36 16.952341
## 37 17.378895
## 38 17.391458
## 39 17.398062
## 40 18.194705
## 41  1.149930
## 42  7.514409
## 43  8.025814
## 44  8.296707
## 45  8.346874
## 46  8.348207
## 47  8.348962
## 48  8.419143

Plotting

Plot for an iNEXT object created previously Rarefaction/extrapolation curves for q = 0

ggiNEXT(example1, type=1) # Curve for sample size

Rarefaction/extrapolation curves for sample size for all 3 numbers divided by site

ggiNEXT(example2, type=1, facet.var="Assemblage")

Rarefaction/extrapolation curves for sample size separated by “order” (q)

ggiNEXT(example2, type=1, facet.var="Both")

?ggiNEXT
ggiNEXT(example2, type=1, facet.var="Order.q")

# adding grey=TRUE, we get a plot in black and white theme

We can also work with sample coverage

ggiNEXT(example1, type=3) # Curve for sample size

Define at which sample size you want to compare your samples.

Results: for the three hill numbers, order 0, 1,2. For all of them is interpolated or extrapolated as requested and we get the values in qD with lower and upper confidence intervals. These values are now fully comparable

Use max value of the biggest sample size

inext_spiders <- iNEXT(spider, q = 0, datatype = "abundance")
info_spiders <- inext_spiders$DataInfo
max(info_spiders$n)
## [1] 252
estINEXTsize <- estimateD(spider, datatype = "abundance", base = "size", level = 252,
          conf = 0.95)
estINEXTsize
##   Assemblage   m        Method Order.q        SC        qD    qD.LCL    qD.UCL
## 1    Girdled 252 Extrapolation       0 0.9490904 31.089085 24.536538 37.641633
## 2    Girdled 252 Extrapolation       1 0.9490904 12.630557 10.445013 14.816101
## 3    Girdled 252 Extrapolation       2 0.9490904  7.948519  6.326929  9.570108
## 4     Logged 252      Observed       0 0.9445706 37.000000 31.646164 42.353836
## 5     Logged 252      Observed       1 0.9445706 14.421002 12.028272 16.813731
## 6     Logged 252      Observed       2 0.9445706  6.761499  5.263225  8.259773

Use max sample coverage

max(info_spiders$SC)
## [1] 0.9446
estINEXTcov <- estimateD(spider, datatype = "abundance", base = "coverage", level = .945,
          conf = 0.95)
estINEXTcov
##   Assemblage        m        Method Order.q    SC        qD    qD.LCL   qD.UCL
## 1    Girdled 232.6025 Extrapolation       0 0.945 30.060357 11.966505 48.15421
## 2    Girdled 232.6025 Extrapolation       1 0.945 12.517775  9.636746 15.39880
## 3    Girdled 232.6025 Extrapolation       2 0.945  7.930211  6.411742  9.44868
## 4     Logged 255.4196 Extrapolation       0 0.945 37.189028 24.974649 49.40341
## 5     Logged 255.4196 Extrapolation       1 0.945 14.441198 11.431818 17.45058
## 6     Logged 255.4196 Extrapolation       2 0.945  6.763578  5.211335  8.31582

Now we can compare Species richness standardized for the same level of sample size for each habitat (sample)

estINEXTcover2 <- estimateD(spider, datatype = "abundance", base = "size", level = 252,
          conf = 0.95) 

habitat <- factor(c("Girdled", "Logged"))

# plot simple
mysub <- subset(estINEXTcover2, estINEXTcover2$Order.q == 0 )
plot(mysub$qD ~ habitat, border = c("green4", "red"), 
        xlab = "Habitats", ylab = "Est. Species richness")

# plot with confidence interval in ggplot
ggplot(mysub, aes(x = habitat, y = qD)) +
  geom_point(colour = c("green4", "red"), size = 5) +
  geom_errorbar(aes(ymin = qD.LCL, ymax = qD.UCL), 
                colour = c("green4", "red"),
                width = 0.2) +
  xlab("Habitats") +
  ylab("Est. Species richness") +
  theme_bw() 

SPATIAL ANALYSIS OF DIVERSITY

BIRD DATA

How does urbanization affect species richness?

Load data

# Bird data
bird_data <- read.csv(here("data","data_berlin","animal_data",
                           "birds_berlin_exercise_planillo2021.csv") )
head(bird_data)
##   Accipiter_gentilis Acrocephalus_arundinaceus Acrocephalus_palustris
## 1                  0                         0                      0
## 2                  0                         0                      0
## 3                  0                         0                      0
## 4                  0                         3                      0
## 5                  0                         0                      0
## 6                  0                         2                      5
##   Acrocephalus_scirpaceus Aegithalos_caudatus Alauda_arvensis Anthus_trivialis
## 1                       0                   0               0                0
## 2                       0                   1               0                0
## 3                       0                   0               0                0
## 4                       4                   2               0                0
## 5                       0                   2               2               11
## 6                       5                   0               9                1
##   Apus_apus Buteo_buteo Carduelis_cannabina Carduelis_carduelis
## 1        15           0                   0                   1
## 2        21           0                   0                   1
## 3         4           0                   0                   0
## 4         0           1                   0                   2
## 5         0           1                   1                   1
## 6         0           0                   1                   1
##   Carduelis_chloris Certhia_brachydactyla Certhia_familiaris
## 1                 2                     0                  0
## 2                11                    11                  0
## 3                 7                     4                  0
## 4                 2                     3                  0
## 5                 6                     2                  0
## 6                 2                     4                  0
##   Coccothraustes_coccothraustes Columba_livia Columba_oenas Columba_palumbus
## 1                             0             1             0               18
## 2                             0             0             0               23
## 3                             0             5             0               17
## 4                             1             0             5               10
## 5                             1             0             0                5
## 6                             1             0             0                2
##   Corvus_corax Corvus_corone Cuculus_canorus Parus_caeruleus Delichon_urbicum
## 1            0            10               0               9                0
## 2            0            11               0              25                0
## 3            0             2               0              18                0
## 4            0            10               2              19                0
## 5            1             6               1              18                0
## 6            0             1               1               7                0
##   Dendrocopos_major Dendrocopos_medius Dryocopus_martius Emberiza_citrinella
## 1                 0                  0                 0                   0
## 2                 8                  0                 0                   0
## 3                 1                  0                 0                   0
## 4                10                  7                 1                   0
## 5                 4                  0                 0                  20
## 6                 4                  0                 0                   8
##   Emberiza_schoeniclus Erithacus_rubecula Falco_tinnunculus Ficedula_hypoleuca
## 1                    0                  0                 0                  0
## 2                    0                  9                 0                  0
## 3                    0                  5                 0                  0
## 4                    1                 14                 0                  0
## 5                    0                 10                 0                  1
## 6                   14                  5                 0                  0
##   Fringilla_coelebs Garrulus_glandarius Hippolais_icterina Hirundo_rustica
## 1                 0                   1                  0               0
## 2                 4                   1                  0               0
## 3                 2                   0                  0               0
## 4                30                   3                  0              10
## 5                18                   3                  2               0
## 6                 9                   1                  1               0
##   Lanius_collurio Locustella_naevia Parus_cristatus Luscinia_megarhynchos
## 1               0                 0               0                     0
## 2               0                 0               0                     7
## 3               0                 0               0                     0
## 4               0                 0               0                     9
## 5               7                 2               0                    20
## 6               4                 1               0                     3
##   Miliaria_calandra Motacilla_alba Motacilla_flava Muscicapa_striata
## 1                 0              0               0                 0
## 2                 0              2               0                 0
## 3                 0              0               0                 0
## 4                 0              1               0                 1
## 5                 0              2               0                 1
## 6                 0              1               3                 2
##   Oriolus_oriolus Parus_major Passer_domesticus Passer_montanus Parus_ater
## 1               0          10               162               0          0
## 2               0          39               121               5          0
## 3               0          18                56               4          0
## 4               2          19                 2               0          1
## 5               2          35                18               4          0
## 6               3          10                 0               2          0
##   Phoenicurus_ochruros Phoenicurus_phoenicurus Phylloscopus_collybita
## 1                    0                       0                      0
## 2                    5                       7                      4
## 3                    4                       2                      0
## 4                    0                       0                     13
## 5                    1                       6                     13
## 6                    2                       2                      5
##   Phylloscopus_sibilatrix Phylloscopus_trochilus Pica_pica Picus_viridis
## 1                       0                      0         4             0
## 2                       0                      1         4             1
## 3                       0                      0         0             0
## 4                       1                      1         0             1
## 5                       0                     15         1             1
## 6                       0                      1         0             0
##   Parus_palustris Prunella_modularis Regulus_ignicapilla Saxicola_torquatus
## 1               0                  0                   0                  0
## 2               0                  1                   2                  0
## 3               0                  0                   0                  0
## 4               2                  0                   1                  0
## 5               0                  1                   0                  0
## 6               0                  0                   0                  1
##   Serinus_serinus Sitta_europaea Streptopelia_decaocto Sturnus_vulgaris
## 1               0              0                     0                2
## 2               5              3                     0               13
## 3               0              4                     0               11
## 4               0             21                     0               36
## 5               0              1                     0                6
## 6               0              1                     0                6
##   Sylvia_atricapilla Sylvia_borin Sylvia_communis Sylvia_curruca
## 1                  2            0               0              1
## 2                 26            0               0              4
## 3                 10            0               0              0
## 4                 28            1               1              0
## 5                 24            5               4              1
## 6                  7            0               0              0
##   Troglodytes_troglodytes Turdus_merula Turdus_philomelos site
## 1                       0            27                 0 BE10
## 2                      10            37                 0 BE11
## 3                       4            30                 1 BE12
## 4                      14            27                11 BE13
## 5                       5            54                11 BE14
## 6                       3            13                 3 BE15
str(bird_data)
## 'data.frame':    29 obs. of  71 variables:
##  $ Accipiter_gentilis           : int  0 0 0 0 0 0 0 0 1 0 ...
##  $ Acrocephalus_arundinaceus    : int  0 0 0 3 0 2 0 0 0 0 ...
##  $ Acrocephalus_palustris       : int  0 0 0 0 0 5 0 3 4 0 ...
##  $ Acrocephalus_scirpaceus      : int  0 0 0 4 0 5 0 0 0 2 ...
##  $ Aegithalos_caudatus          : int  0 1 0 2 2 0 0 0 2 0 ...
##  $ Alauda_arvensis              : int  0 0 0 0 2 9 0 21 1 0 ...
##  $ Anthus_trivialis             : int  0 0 0 0 11 1 0 0 0 0 ...
##  $ Apus_apus                    : int  15 21 4 0 0 0 0 0 3 12 ...
##  $ Buteo_buteo                  : int  0 0 0 1 1 0 0 0 0 0 ...
##  $ Carduelis_cannabina          : int  0 0 0 0 1 1 0 3 1 0 ...
##  $ Carduelis_carduelis          : int  1 1 0 2 1 1 1 3 1 4 ...
##  $ Carduelis_chloris            : int  2 11 7 2 6 2 11 6 8 13 ...
##  $ Certhia_brachydactyla        : int  0 11 4 3 2 4 2 0 1 3 ...
##  $ Certhia_familiaris           : int  0 0 0 0 0 0 0 0 0 0 ...
##  $ Coccothraustes_coccothraustes: int  0 0 0 1 1 1 0 0 0 1 ...
##  $ Columba_livia                : int  1 0 5 0 0 0 0 0 1 0 ...
##  $ Columba_oenas                : int  0 0 0 5 0 0 0 0 0 0 ...
##  $ Columba_palumbus             : int  18 23 17 10 5 2 16 7 13 15 ...
##  $ Corvus_corax                 : int  0 0 0 0 1 0 0 0 1 0 ...
##  $ Corvus_corone                : int  10 11 2 10 6 1 4 4 8 10 ...
##  $ Cuculus_canorus              : int  0 0 0 2 1 1 0 3 1 0 ...
##  $ Parus_caeruleus              : int  9 25 18 19 18 7 20 4 18 15 ...
##  $ Delichon_urbicum             : int  0 0 0 0 0 0 0 0 2 0 ...
##  $ Dendrocopos_major            : int  0 8 1 10 4 4 0 0 3 3 ...
##  $ Dendrocopos_medius           : int  0 0 0 7 0 0 0 0 0 0 ...
##  $ Dryocopus_martius            : int  0 0 0 1 0 0 0 0 0 0 ...
##  $ Emberiza_citrinella          : int  0 0 0 0 20 8 0 14 4 0 ...
##  $ Emberiza_schoeniclus         : int  0 0 0 1 0 14 0 0 1 0 ...
##  $ Erithacus_rubecula           : int  0 9 5 14 10 5 0 0 4 4 ...
##  $ Falco_tinnunculus            : int  0 0 0 0 0 0 0 0 1 0 ...
##  $ Ficedula_hypoleuca           : int  0 0 0 0 1 0 0 0 0 4 ...
##  $ Fringilla_coelebs            : int  0 4 2 30 18 9 2 2 0 0 ...
##  $ Garrulus_glandarius          : int  1 1 0 3 3 1 2 2 0 3 ...
##  $ Hippolais_icterina           : int  0 0 0 0 2 1 0 5 1 2 ...
##  $ Hirundo_rustica              : int  0 0 0 10 0 0 0 0 1 0 ...
##  $ Lanius_collurio              : int  0 0 0 0 7 4 0 2 2 0 ...
##  $ Locustella_naevia            : int  0 0 0 0 2 1 0 2 2 0 ...
##  $ Parus_cristatus              : int  0 0 0 0 0 0 0 0 1 0 ...
##  $ Luscinia_megarhynchos        : int  0 7 0 9 20 3 10 6 18 5 ...
##  $ Miliaria_calandra            : int  0 0 0 0 0 0 0 8 0 0 ...
##  $ Motacilla_alba               : int  0 2 0 1 2 1 0 0 2 0 ...
##  $ Motacilla_flava              : int  0 0 0 0 0 3 0 0 0 0 ...
##  $ Muscicapa_striata            : int  0 0 0 1 1 2 0 0 1 3 ...
##  $ Oriolus_oriolus              : int  0 0 0 2 2 3 0 0 0 0 ...
##  $ Parus_major                  : int  10 39 18 19 35 10 46 17 28 18 ...
##  $ Passer_domesticus            : int  162 121 56 2 18 0 104 0 88 90 ...
##  $ Passer_montanus              : int  0 5 4 0 4 2 6 4 8 8 ...
##  $ Parus_ater                   : int  0 0 0 1 0 0 0 0 0 0 ...
##  $ Phoenicurus_ochruros         : int  0 5 4 0 1 2 7 0 4 6 ...
##  $ Phoenicurus_phoenicurus      : int  0 7 2 0 6 2 11 0 12 9 ...
##  $ Phylloscopus_collybita       : int  0 4 0 13 13 5 7 4 9 3 ...
##  $ Phylloscopus_sibilatrix      : int  0 0 0 1 0 0 0 0 0 0 ...
##  $ Phylloscopus_trochilus       : int  0 1 0 1 15 1 0 14 4 3 ...
##  $ Pica_pica                    : int  4 4 0 0 1 0 4 2 5 7 ...
##  $ Picus_viridis                : int  0 1 0 1 1 0 0 1 0 1 ...
##  $ Parus_palustris              : int  0 0 0 2 0 0 0 0 0 0 ...
##  $ Prunella_modularis           : int  0 1 0 0 1 0 1 0 3 1 ...
##  $ Regulus_ignicapilla          : int  0 2 0 1 0 0 4 0 1 0 ...
##  $ Saxicola_torquatus           : int  0 0 0 0 0 1 0 2 0 0 ...
##  $ Serinus_serinus              : int  0 5 0 0 0 0 4 0 7 4 ...
##  $ Sitta_europaea               : int  0 3 4 21 1 1 0 0 0 3 ...
##  $ Streptopelia_decaocto        : int  0 0 0 0 0 0 0 0 0 6 ...
##  $ Sturnus_vulgaris             : int  2 13 11 36 6 6 19 10 17 34 ...
##  $ Sylvia_atricapilla           : int  2 26 10 28 24 7 14 12 15 7 ...
##  $ Sylvia_borin                 : int  0 0 0 1 5 0 0 3 3 3 ...
##  $ Sylvia_communis              : int  0 0 0 1 4 0 0 23 0 1 ...
##  $ Sylvia_curruca               : int  1 4 0 0 1 0 7 3 4 4 ...
##  $ Troglodytes_troglodytes      : int  0 10 4 14 5 3 6 0 5 2 ...
##  $ Turdus_merula                : int  27 37 30 27 54 13 39 14 49 32 ...
##  $ Turdus_philomelos            : int  0 0 1 11 11 3 1 5 1 4 ...
##  $ site                         : chr  "BE10" "BE11" "BE12" "BE13" ...
summary(bird_data)
##  Accipiter_gentilis Acrocephalus_arundinaceus Acrocephalus_palustris
##  Min.   :0.0000     Min.   :0.0000            Min.   :0.0000        
##  1st Qu.:0.0000     1st Qu.:0.0000            1st Qu.:0.0000        
##  Median :0.0000     Median :0.0000            Median :0.0000        
##  Mean   :0.1379     Mean   :0.2414            Mean   :0.4138        
##  3rd Qu.:0.0000     3rd Qu.:0.0000            3rd Qu.:0.0000        
##  Max.   :2.0000     Max.   :3.0000            Max.   :5.0000        
##  Acrocephalus_scirpaceus Aegithalos_caudatus Alauda_arvensis  Anthus_trivialis 
##  Min.   :0.0000          Min.   :0.0000      Min.   : 0.000   Min.   : 0.0000  
##  1st Qu.:0.0000          1st Qu.:0.0000      1st Qu.: 0.000   1st Qu.: 0.0000  
##  Median :0.0000          Median :0.0000      Median : 0.000   Median : 0.0000  
##  Mean   :0.5517          Mean   :0.7241      Mean   : 1.172   Mean   : 0.4483  
##  3rd Qu.:0.0000          3rd Qu.:1.0000      3rd Qu.: 0.000   3rd Qu.: 0.0000  
##  Max.   :5.0000          Max.   :4.0000      Max.   :21.000   Max.   :11.0000  
##    Apus_apus       Buteo_buteo     Carduelis_cannabina Carduelis_carduelis
##  Min.   : 0.000   Min.   :0.0000   Min.   :0.0000      Min.   :0.000      
##  1st Qu.: 0.000   1st Qu.:0.0000   1st Qu.:0.0000      1st Qu.:0.000      
##  Median : 0.000   Median :0.0000   Median :0.0000      Median :1.000      
##  Mean   : 5.069   Mean   :0.1034   Mean   :0.3103      Mean   :1.517      
##  3rd Qu.: 5.000   3rd Qu.:0.0000   3rd Qu.:0.0000      3rd Qu.:2.000      
##  Max.   :37.000   Max.   :1.0000   Max.   :3.0000      Max.   :6.000      
##  Carduelis_chloris Certhia_brachydactyla Certhia_familiaris
##  Min.   : 0.000    Min.   : 0.000        Min.   :0.0000    
##  1st Qu.: 2.000    1st Qu.: 1.000        1st Qu.:0.0000    
##  Median : 6.000    Median : 3.000        Median :0.0000    
##  Mean   : 6.276    Mean   : 4.483        Mean   :0.5172    
##  3rd Qu.: 9.000    3rd Qu.: 9.000        3rd Qu.:0.0000    
##  Max.   :19.000    Max.   :12.000        Max.   :6.0000    
##  Coccothraustes_coccothraustes Columba_livia    Columba_oenas   
##  Min.   : 0.000                Min.   : 0.000   Min.   :0.0000  
##  1st Qu.: 0.000                1st Qu.: 0.000   1st Qu.:0.0000  
##  Median : 0.000                Median : 0.000   Median :0.0000  
##  Mean   : 1.621                Mean   : 2.586   Mean   :0.4138  
##  3rd Qu.: 1.000                3rd Qu.: 4.000   3rd Qu.:0.0000  
##  Max.   :15.000                Max.   :15.000   Max.   :5.0000  
##  Columba_palumbus  Corvus_corax    Corvus_corone    Cuculus_canorus 
##  Min.   : 2.00    Min.   :0.0000   Min.   : 0.000   Min.   :0.0000  
##  1st Qu.:10.00    1st Qu.:0.0000   1st Qu.: 2.000   1st Qu.:0.0000  
##  Median :13.00    Median :0.0000   Median : 6.000   Median :0.0000  
##  Mean   :13.07    Mean   :0.1379   Mean   : 6.586   Mean   :0.3448  
##  3rd Qu.:17.00    3rd Qu.:0.0000   3rd Qu.:10.000   3rd Qu.:0.0000  
##  Max.   :32.00    Max.   :1.0000   Max.   :22.000   Max.   :3.0000  
##  Parus_caeruleus Delichon_urbicum Dendrocopos_major Dendrocopos_medius
##  Min.   : 4      Min.   :0.0000   Min.   : 0.000    Min.   :0.0000    
##  1st Qu.:11      1st Qu.:0.0000   1st Qu.: 1.000    1st Qu.:0.0000    
##  Median :18      Median :0.0000   Median : 2.000    Median :0.0000    
##  Mean   :19      Mean   :0.2069   Mean   : 5.517    Mean   :0.3103    
##  3rd Qu.:23      3rd Qu.:0.0000   3rd Qu.: 8.000    3rd Qu.:0.0000    
##  Max.   :44      Max.   :2.0000   Max.   :36.000    Max.   :7.0000    
##  Dryocopus_martius Emberiza_citrinella Emberiza_schoeniclus Erithacus_rubecula
##  Min.   :0.0000    Min.   : 0.000      Min.   : 0.0000      Min.   : 0.000    
##  1st Qu.:0.0000    1st Qu.: 0.000      1st Qu.: 0.0000      1st Qu.: 2.000    
##  Median :0.0000    Median : 0.000      Median : 0.0000      Median : 4.000    
##  Mean   :0.2069    Mean   : 1.862      Mean   : 0.5517      Mean   : 6.931    
##  3rd Qu.:0.0000    3rd Qu.: 0.000      3rd Qu.: 0.0000      3rd Qu.:10.000    
##  Max.   :2.0000    Max.   :20.000      Max.   :14.0000      Max.   :35.000    
##  Falco_tinnunculus Ficedula_hypoleuca Fringilla_coelebs Garrulus_glandarius
##  Min.   :0.0000    Min.   :0.000      Min.   : 0.00     Min.   :0.000      
##  1st Qu.:0.0000    1st Qu.:0.000      1st Qu.: 0.00     1st Qu.:1.000      
##  Median :0.0000    Median :0.000      Median : 3.00     Median :1.000      
##  Mean   :0.1724    Mean   :1.345      Mean   :11.86     Mean   :1.793      
##  3rd Qu.:0.0000    3rd Qu.:1.000      3rd Qu.:18.00     3rd Qu.:3.000      
##  Max.   :1.0000    Max.   :9.000      Max.   :71.00     Max.   :5.000      
##  Hippolais_icterina Hirundo_rustica   Lanius_collurio  Locustella_naevia
##  Min.   :0.0000     Min.   : 0.0000   Min.   :0.0000   Min.   :0.0000   
##  1st Qu.:0.0000     1st Qu.: 0.0000   1st Qu.:0.0000   1st Qu.:0.0000   
##  Median :0.0000     Median : 0.0000   Median :0.0000   Median :0.0000   
##  Mean   :0.3793     Mean   : 0.6552   Mean   :0.5172   Mean   :0.2414   
##  3rd Qu.:0.0000     3rd Qu.: 0.0000   3rd Qu.:0.0000   3rd Qu.:0.0000   
##  Max.   :5.0000     Max.   :10.0000   Max.   :7.0000   Max.   :2.0000   
##  Parus_cristatus  Luscinia_megarhynchos Miliaria_calandra Motacilla_alba  
##  Min.   :0.0000   Min.   : 0.000        Min.   :0.0000    Min.   :0.0000  
##  1st Qu.:0.0000   1st Qu.: 0.000        1st Qu.:0.0000    1st Qu.:0.0000  
##  Median :0.0000   Median : 2.000        Median :0.0000    Median :0.0000  
##  Mean   :0.8621   Mean   : 4.069        Mean   :0.2759    Mean   :0.4138  
##  3rd Qu.:0.0000   3rd Qu.: 7.000        3rd Qu.:0.0000    3rd Qu.:1.0000  
##  Max.   :7.0000   Max.   :20.000        Max.   :8.0000    Max.   :2.0000  
##  Motacilla_flava  Muscicapa_striata Oriolus_oriolus   Parus_major   
##  Min.   :0.0000   Min.   :0.0000    Min.   :0.0000   Min.   : 6.00  
##  1st Qu.:0.0000   1st Qu.:0.0000    1st Qu.:0.0000   1st Qu.:17.00  
##  Median :0.0000   Median :0.0000    Median :0.0000   Median :22.00  
##  Mean   :0.1034   Mean   :0.6207    Mean   :0.2759   Mean   :23.86  
##  3rd Qu.:0.0000   3rd Qu.:1.0000    3rd Qu.:0.0000   3rd Qu.:29.00  
##  Max.   :3.0000   Max.   :4.0000    Max.   :3.0000   Max.   :52.00  
##  Passer_domesticus Passer_montanus    Parus_ater     Phoenicurus_ochruros
##  Min.   :  0.00    Min.   : 0.000   Min.   :0.0000   Min.   : 0          
##  1st Qu.: 14.00    1st Qu.: 0.000   1st Qu.:0.0000   1st Qu.: 1          
##  Median : 65.00    Median : 3.000   Median :0.0000   Median : 2          
##  Mean   : 68.38    Mean   : 3.828   Mean   :0.5517   Mean   : 4          
##  3rd Qu.: 90.00    3rd Qu.: 6.000   3rd Qu.:0.0000   3rd Qu.: 5          
##  Max.   :279.00    Max.   :15.000   Max.   :5.0000   Max.   :21          
##  Phoenicurus_phoenicurus Phylloscopus_collybita Phylloscopus_sibilatrix
##  Min.   : 0.000          Min.   : 0.000         Min.   : 0.000         
##  1st Qu.: 2.000          1st Qu.: 0.000         1st Qu.: 0.000         
##  Median : 5.000          Median : 2.000         Median : 0.000         
##  Mean   : 4.966          Mean   : 3.517         Mean   : 2.069         
##  3rd Qu.: 8.000          3rd Qu.: 5.000         3rd Qu.: 1.000         
##  Max.   :13.000          Max.   :14.000         Max.   :24.000         
##  Phylloscopus_trochilus   Pica_pica      Picus_viridis    Parus_palustris  
##  Min.   : 0.000         Min.   : 0.000   Min.   :0.0000   Min.   : 0.0000  
##  1st Qu.: 0.000         1st Qu.: 0.000   1st Qu.:0.0000   1st Qu.: 0.0000  
##  Median : 0.000         Median : 2.000   Median :0.0000   Median : 0.0000  
##  Mean   : 1.483         Mean   : 3.138   Mean   :0.4483   Mean   : 0.5517  
##  3rd Qu.: 1.000         3rd Qu.: 5.000   3rd Qu.:1.0000   3rd Qu.: 0.0000  
##  Max.   :15.000         Max.   :10.000   Max.   :1.0000   Max.   :10.0000  
##  Prunella_modularis Regulus_ignicapilla Saxicola_torquatus Serinus_serinus 
##  Min.   :0.0000     Min.   : 0.000      Min.   :0.0000     Min.   : 0.000  
##  1st Qu.:0.0000     1st Qu.: 0.000      1st Qu.:0.0000     1st Qu.: 0.000  
##  Median :0.0000     Median : 0.000      Median :0.0000     Median : 1.000  
##  Mean   :0.5517     Mean   : 1.552      Mean   :0.1034     Mean   : 2.103  
##  3rd Qu.:1.0000     3rd Qu.: 2.000      3rd Qu.:0.0000     3rd Qu.: 4.000  
##  Max.   :5.0000     Max.   :12.000      Max.   :2.0000     Max.   :15.000  
##  Sitta_europaea   Streptopelia_decaocto Sturnus_vulgaris Sylvia_atricapilla
##  Min.   : 0.000   Min.   :0.0000        Min.   : 2.00    Min.   : 0.00     
##  1st Qu.: 0.000   1st Qu.:0.0000        1st Qu.: 5.00    1st Qu.: 7.00     
##  Median : 1.000   Median :0.0000        Median : 8.00    Median :10.00     
##  Mean   : 4.759   Mean   :0.2069        Mean   :10.52    Mean   :10.83     
##  3rd Qu.: 4.000   3rd Qu.:0.0000        3rd Qu.:13.00    3rd Qu.:13.00     
##  Max.   :29.000   Max.   :6.0000        Max.   :36.00    Max.   :28.00     
##   Sylvia_borin    Sylvia_communis  Sylvia_curruca  Troglodytes_troglodytes
##  Min.   :0.0000   Min.   : 0.000   Min.   :0.000   Min.   : 0.000         
##  1st Qu.:0.0000   1st Qu.: 0.000   1st Qu.:0.000   1st Qu.: 0.000         
##  Median :0.0000   Median : 0.000   Median :2.000   Median : 3.000         
##  Mean   :0.6207   Mean   : 1.069   Mean   :2.207   Mean   : 6.034         
##  3rd Qu.:0.0000   3rd Qu.: 0.000   3rd Qu.:3.000   3rd Qu.: 9.000         
##  Max.   :5.0000   Max.   :23.000   Max.   :7.000   Max.   :36.000         
##  Turdus_merula   Turdus_philomelos     site          
##  Min.   :11.00   Min.   : 0.000    Length:29         
##  1st Qu.:18.00   1st Qu.: 0.000    Class :character  
##  Median :27.00   Median : 1.000    Mode  :character  
##  Mean   :29.34   Mean   : 3.345                      
##  3rd Qu.:39.00   3rd Qu.: 5.000                      
##  Max.   :54.00   Max.   :14.000
bird_data
##    Accipiter_gentilis Acrocephalus_arundinaceus Acrocephalus_palustris
## 1                   0                         0                      0
## 2                   0                         0                      0
## 3                   0                         0                      0
## 4                   0                         3                      0
## 5                   0                         0                      0
## 6                   0                         2                      5
## 7                   0                         0                      0
## 8                   0                         0                      3
## 9                   1                         0                      4
## 10                  0                         0                      0
## 11                  2                         0                      0
## 12                  0                         0                      0
## 13                  1                         0                      0
## 14                  0                         0                      0
## 15                  0                         0                      0
## 16                  0                         0                      0
## 17                  0                         0                      0
## 18                  0                         0                      0
## 19                  0                         0                      0
## 20                  0                         0                      0
## 21                  0                         0                      0
## 22                  0                         2                      0
## 23                  0                         0                      0
## 24                  0                         0                      0
## 25                  0                         0                      0
## 26                  0                         0                      0
## 27                  0                         0                      0
## 28                  0                         0                      0
## 29                  0                         0                      0
##    Acrocephalus_scirpaceus Aegithalos_caudatus Alauda_arvensis Anthus_trivialis
## 1                        0                   0               0                0
## 2                        0                   1               0                0
## 3                        0                   0               0                0
## 4                        4                   2               0                0
## 5                        0                   2               2               11
## 6                        5                   0               9                1
## 7                        0                   0               0                0
## 8                        0                   0              21                0
## 9                        0                   2               1                0
## 10                       2                   0               0                0
## 11                       0                   1               0                0
## 12                       0                   0               0                0
## 13                       1                   2               0                0
## 14                       0                   1               0                0
## 15                       0                   0               0                0
## 16                       0                   0               0                0
## 17                       0                   3               0                0
## 18                       0                   1               0                0
## 19                       0                   1               0                0
## 20                       1                   0               0                0
## 21                       0                   0               0                0
## 22                       0                   0               0                1
## 23                       0                   1               1                0
## 24                       0                   4               0                0
## 25                       0                   0               0                0
## 26                       0                   0               0                0
## 27                       0                   0               0                0
## 28                       0                   0               0                0
## 29                       3                   0               0                0
##    Apus_apus Buteo_buteo Carduelis_cannabina Carduelis_carduelis
## 1         15           0                   0                   1
## 2         21           0                   0                   1
## 3          4           0                   0                   0
## 4          0           1                   0                   2
## 5          0           1                   1                   1
## 6          0           0                   1                   1
## 7          0           0                   0                   1
## 8          0           0                   3                   3
## 9          3           0                   1                   1
## 10        12           0                   0                   4
## 11         0           0                   0                   0
## 12         4           0                   0                   0
## 13         3           0                   0                   2
## 14         5           0                   0                   3
## 15         5           0                   0                   3
## 16         0           0                   0                   6
## 17        12           0                   0                   1
## 18         0           0                   0                   0
## 19        19           0                   3                   0
## 20         0           1                   0                   2
## 21         0           0                   0                   1
## 22         0           0                   0                   1
## 23         0           0                   0                   1
## 24         0           0                   0                   0
## 25         5           0                   0                   0
## 26         2           0                   0                   1
## 27        37           0                   0                   2
## 28         0           0                   0                   6
## 29         0           0                   0                   0
##    Carduelis_chloris Certhia_brachydactyla Certhia_familiaris
## 1                  2                     0                  0
## 2                 11                    11                  0
## 3                  7                     4                  0
## 4                  2                     3                  0
## 5                  6                     2                  0
## 6                  2                     4                  0
## 7                 11                     2                  0
## 8                  6                     0                  0
## 9                  8                     1                  0
## 10                13                     3                  0
## 11                 0                    11                  6
## 12                 1                     1                  0
## 13                 7                    11                  0
## 14                10                     5                  0
## 15                 3                     3                  0
## 16                 5                     5                  0
## 17                19                     0                  0
## 18                 6                    10                  0
## 19                11                     4                  0
## 20                 0                     9                  2
## 21                 9                     0                  0
## 22                 5                     9                  1
## 23                 9                     1                  0
## 24                 6                    10                  0
## 25                 4                     0                  0
## 26                 2                     3                  0
## 27                 8                     4                  0
## 28                 9                     2                  0
## 29                 0                    12                  6
##    Coccothraustes_coccothraustes Columba_livia Columba_oenas Columba_palumbus
## 1                              0             1             0               18
## 2                              0             0             0               23
## 3                              0             5             0               17
## 4                              1             0             5               10
## 5                              1             0             0                5
## 6                              1             0             0                2
## 7                              0             0             0               16
## 8                              0             0             0                7
## 9                              0             1             0               13
## 10                             1             0             0               15
## 11                            15             0             2               12
## 12                             0             4             0                6
## 13                             8             0             0               15
## 14                             0            15             0               18
## 15                             0            13             0               18
## 16                             0             0             0               11
## 17                             0             0             0               10
## 18                             0             2             0               13
## 19                             2             1             0               17
## 20                             3             0             3                6
## 21                             0             3             0               15
## 22                             3             2             0                5
## 23                             0             0             0               18
## 24                             5             0             1               19
## 25                             0             7             0               11
## 26                             0             9             0               10
## 27                             0             8             0               32
## 28                             0             4             0               12
## 29                             7             0             1                5
##    Corvus_corax Corvus_corone Cuculus_canorus Parus_caeruleus Delichon_urbicum
## 1             0            10               0               9                0
## 2             0            11               0              25                0
## 3             0             2               0              18                0
## 4             0            10               2              19                0
## 5             1             6               1              18                0
## 6             0             1               1               7                0
## 7             0             4               0              20                0
## 8             0             4               3               4                0
## 9             1             8               1              18                2
## 10            0            10               0              15                0
## 11            1             2               1              33                0
## 12            0             3               0              11                0
## 13            0             4               0              44                0
## 14            0             4               0              14                0
## 15            0             6               0              12                0
## 16            0            11               0              15                0
## 17            0             5               0              18                0
## 18            0             2               0              16                0
## 19            0            14               0              26                0
## 20            0             0               0              31                0
## 21            0            12               0              11                0
## 22            1             1               0              23                0
## 23            0             2               0              11                0
## 24            0             8               0              44                0
## 25            0             7               0               5                1
## 26            0             8               0              22                1
## 27            0            22               0              23                2
## 28            0            13               0              10                0
## 29            0             1               1              29                0
##    Dendrocopos_major Dendrocopos_medius Dryocopus_martius Emberiza_citrinella
## 1                  0                  0                 0                   0
## 2                  8                  0                 0                   0
## 3                  1                  0                 0                   0
## 4                 10                  7                 1                   0
## 5                  4                  0                 0                  20
## 6                  4                  0                 0                   8
## 7                  0                  0                 0                   0
## 8                  0                  0                 0                  14
## 9                  3                  0                 0                   4
## 10                 3                  0                 0                   0
## 11                36                  1                 2                   0
## 12                 1                  0                 0                   0
## 13                 8                  0                 0                   0
## 14                 0                  0                 0                   0
## 15                 0                  0                 0                   0
## 16                 2                  0                 0                   0
## 17                 2                  0                 0                   0
## 18                 6                  0                 0                   0
## 19                 3                  0                 0                   1
## 20                11                  0                 1                   0
## 21                 2                  0                 0                   0
## 22                 9                  0                 0                   7
## 23                 2                  0                 0                   0
## 24                22                  0                 1                   0
## 25                 1                  0                 0                   0
## 26                 1                  0                 0                   0
## 27                 1                  0                 0                   0
## 28                 1                  0                 0                   0
## 29                19                  1                 1                   0
##    Emberiza_schoeniclus Erithacus_rubecula Falco_tinnunculus Ficedula_hypoleuca
## 1                     0                  0                 0                  0
## 2                     0                  9                 0                  0
## 3                     0                  5                 0                  0
## 4                     1                 14                 0                  0
## 5                     0                 10                 0                  1
## 6                    14                  5                 0                  0
## 7                     0                  0                 0                  0
## 8                     0                  0                 0                  0
## 9                     1                  4                 1                  0
## 10                    0                  4                 0                  4
## 11                    0                 35                 0                  6
## 12                    0                  0                 0                  0
## 13                    0                 13                 0                  0
## 14                    0                  2                 0                  0
## 15                    0                  5                 0                  0
## 16                    0                  2                 0                  0
## 17                    0                  1                 0                  0
## 18                    0                  5                 1                  0
## 19                    0                  3                 1                  1
## 20                    0                 25                 0                  8
## 21                    0                  2                 0                  0
## 22                    0                 10                 0                  9
## 23                    0                  3                 0                  0
## 24                    0                 17                 0                  7
## 25                    0                  0                 0                  0
## 26                    0                  3                 1                  0
## 27                    0                  2                 0                  0
## 28                    0                  0                 1                  0
## 29                    0                 22                 0                  3
##    Fringilla_coelebs Garrulus_glandarius Hippolais_icterina Hirundo_rustica
## 1                  0                   1                  0               0
## 2                  4                   1                  0               0
## 3                  2                   0                  0               0
## 4                 30                   3                  0              10
## 5                 18                   3                  2               0
## 6                  9                   1                  1               0
## 7                  2                   2                  0               0
## 8                  2                   2                  5               0
## 9                  0                   0                  1               1
## 10                 0                   3                  2               0
## 11                71                   5                  0               0
## 12                 0                   0                  0               0
## 13                24                   1                  0               0
## 14                 0                   1                  0               0
## 15                 1                   0                  0               0
## 16                 3                   0                  0               0
## 17                 5                   1                  0               1
## 18                 8                   0                  0               0
## 19                 1                   2                  0               0
## 20                46                   4                  0               0
## 21                 3                   5                  0               0
## 22                21                   2                  0               7
## 23                 0                   1                  0               0
## 24                36                   5                  0               0
## 25                 0                   2                  0               0
## 26                 3                   0                  0               0
## 27                 0                   2                  0               0
## 28                 0                   1                  0               0
## 29                55                   4                  0               0
##    Lanius_collurio Locustella_naevia Parus_cristatus Luscinia_megarhynchos
## 1                0                 0               0                     0
## 2                0                 0               0                     7
## 3                0                 0               0                     0
## 4                0                 0               0                     9
## 5                7                 2               0                    20
## 6                4                 1               0                     3
## 7                0                 0               0                    10
## 8                2                 2               0                     6
## 9                2                 2               1                    18
## 10               0                 0               0                     5
## 11               0                 0               5                     0
## 12               0                 0               0                     0
## 13               0                 0               0                     8
## 14               0                 0               0                     2
## 15               0                 0               0                     0
## 16               0                 0               0                     0
## 17               0                 0               0                     2
## 18               0                 0               0                     2
## 19               0                 0               2                     7
## 20               0                 0               4                     0
## 21               0                 0               0                     0
## 22               0                 0               7                     3
## 23               0                 0               0                    10
## 24               0                 0               0                     0
## 25               0                 0               0                     1
## 26               0                 0               0                     0
## 27               0                 0               0                     1
## 28               0                 0               0                     3
## 29               0                 0               6                     1
##    Miliaria_calandra Motacilla_alba Motacilla_flava Muscicapa_striata
## 1                  0              0               0                 0
## 2                  0              2               0                 0
## 3                  0              0               0                 0
## 4                  0              1               0                 1
## 5                  0              2               0                 1
## 6                  0              1               3                 2
## 7                  0              0               0                 0
## 8                  8              0               0                 0
## 9                  0              2               0                 1
## 10                 0              0               0                 3
## 11                 0              0               0                 2
## 12                 0              0               0                 0
## 13                 0              0               0                 4
## 14                 0              0               0                 0
## 15                 0              1               0                 0
## 16                 0              0               0                 0
## 17                 0              0               0                 0
## 18                 0              0               0                 2
## 19                 0              1               0                 0
## 20                 0              1               0                 1
## 21                 0              0               0                 0
## 22                 0              0               0                 0
## 23                 0              0               0                 0
## 24                 0              0               0                 0
## 25                 0              0               0                 0
## 26                 0              0               0                 0
## 27                 0              1               0                 0
## 28                 0              0               0                 0
## 29                 0              0               0                 1
##    Oriolus_oriolus Parus_major Passer_domesticus Passer_montanus Parus_ater
## 1                0          10               162               0          0
## 2                0          39               121               5          0
## 3                0          18                56               4          0
## 4                2          19                 2               0          1
## 5                2          35                18               4          0
## 6                3          10                 0               2          0
## 7                0          46               104               6          0
## 8                0          17                 0               4          0
## 9                0          28                88               8          0
## 10               0          18                90               8          0
## 11               0          29                 0               0          3
## 12               0           9                71               1          0
## 13               0          29                 5               1          0
## 14               0          19                62               0          0
## 15               0          18                71               0          0
## 16               0          20               174               0          0
## 17               0          25                65               5          0
## 18               0          39               115               0          0
## 19               0          36                65              12          0
## 20               0          28                 0               0          0
## 21               0          13                56              14          0
## 22               0          29                22               5          4
## 23               0          22                78              15          0
## 24               1          52                14               7          3
## 25               0           6               116               0          0
## 26               0          15                76               0          0
## 27               0          22               279               3          0
## 28               0          14                73               7          0
## 29               0          27                 0               0          5
##    Phoenicurus_ochruros Phoenicurus_phoenicurus Phylloscopus_collybita
## 1                     0                       0                      0
## 2                     5                       7                      4
## 3                     4                       2                      0
## 4                     0                       0                     13
## 5                     1                       6                     13
## 6                     2                       2                      5
## 7                     7                      11                      7
## 8                     0                       0                      4
## 9                     4                      12                      9
## 10                    6                       9                      3
## 11                    0                       0                      1
## 12                    1                       3                      0
## 13                    3                      13                     14
## 14                   19                       5                      0
## 15                   21                       3                      0
## 16                    4                       3                      0
## 17                    2                       9                      5
## 18                    2                       5                      1
## 19                    3                       9                      1
## 20                    0                       1                      2
## 21                   10                       5                      0
## 22                    1                       8                     11
## 23                    1                       9                      1
## 24                    2                       7                      3
## 25                    5                       0                      0
## 26                    2                       5                      0
## 27                    5                       2                      0
## 28                    6                       6                      2
## 29                    0                       2                      3
##    Phylloscopus_sibilatrix Phylloscopus_trochilus Pica_pica Picus_viridis
## 1                        0                      0         4             0
## 2                        0                      1         4             1
## 3                        0                      0         0             0
## 4                        1                      1         0             1
## 5                        0                     15         1             1
## 6                        0                      1         0             0
## 7                        0                      0         4             0
## 8                        0                     14         2             1
## 9                        0                      4         5             0
## 10                       0                      3         7             1
## 11                      24                      0         0             1
## 12                       0                      0         4             0
## 13                       6                      0         0             1
## 14                       0                      0         3             0
## 15                       0                      0         3             0
## 16                       0                      0         2             0
## 17                       2                      0         2             1
## 18                       0                      0         0             1
## 19                       1                      2         9             1
## 20                       4                      0         0             0
## 21                       0                      0         9             0
## 22                       8                      0         2             0
## 23                       0                      0         2             1
## 24                       0                      0         0             1
## 25                       0                      0        10             0
## 26                       0                      0         5             1
## 27                       1                      1         7             0
## 28                       0                      0         6             0
## 29                      13                      1         0             0
##    Parus_palustris Prunella_modularis Regulus_ignicapilla Saxicola_torquatus
## 1                0                  0                   0                  0
## 2                0                  1                   2                  0
## 3                0                  0                   0                  0
## 4                2                  0                   1                  0
## 5                0                  1                   0                  0
## 6                0                  0                   0                  1
## 7                0                  1                   4                  0
## 8                0                  0                   0                  2
## 9                0                  3                   1                  0
## 10               0                  1                   0                  0
## 11               0                  0                   7                  0
## 12               0                  0                   0                  0
## 13               0                  5                   3                  0
## 14               0                  0                   0                  0
## 15               0                  0                   0                  0
## 16               0                  0                   0                  0
## 17               0                  1                   2                  0
## 18               0                  0                   0                  0
## 19               0                  1                   0                  0
## 20               3                  0                   6                  0
## 21               0                  0                   0                  0
## 22               0                  1                   2                  0
## 23               0                  1                   0                  0
## 24               1                  0                  12                  0
## 25               0                  0                   0                  0
## 26               0                  0                   0                  0
## 27               0                  0                   0                  0
## 28               0                  0                   0                  0
## 29              10                  0                   5                  0
##    Serinus_serinus Sitta_europaea Streptopelia_decaocto Sturnus_vulgaris
## 1                0              0                     0                2
## 2                5              3                     0               13
## 3                0              4                     0               11
## 4                0             21                     0               36
## 5                0              1                     0                6
## 6                0              1                     0                6
## 7                4              0                     0               19
## 8                0              0                     0               10
## 9                7              0                     0               17
## 10               4              3                     6               34
## 11               0             29                     0                2
## 12               1              1                     0                5
## 13              15              6                     0               19
## 14               3              0                     0                3
## 15               1              0                     0                4
## 16               0              3                     0                9
## 17               2              0                     0                7
## 18               1              4                     0               19
## 19               5              0                     0               12
## 20               0             18                     0                3
## 21               0              1                     0               18
## 22               4              5                     0                7
## 23               0              0                     0                2
## 24               0             23                     0                8
## 25               2              0                     0                5
## 26               3              0                     0                8
## 27               0              1                     0               11
## 28               4              0                     0                7
## 29               0             14                     0                2
##    Sylvia_atricapilla Sylvia_borin Sylvia_communis Sylvia_curruca
## 1                   2            0               0              1
## 2                  26            0               0              4
## 3                  10            0               0              0
## 4                  28            1               1              0
## 5                  24            5               4              1
## 6                   7            0               0              0
## 7                  14            0               0              7
## 8                  12            3              23              3
## 9                  15            3               0              4
## 10                  7            3               1              4
## 11                  9            0               0              0
## 12                  6            0               0              2
## 13                 20            0               0              3
## 14                  7            0               0              3
## 15                  4            0               0              1
## 16                  8            0               0              1
## 17                 10            0               0              0
## 18                 10            0               0              3
## 19                  3            0               2              4
## 20                 11            0               0              0
## 21                  6            2               0              5
## 22                 12            0               0              3
## 23                 13            1               0              7
## 24                 13            0               0              3
## 25                  0            0               0              0
## 26                  8            0               0              1
## 27                 10            0               0              1
## 28                  5            0               0              3
## 29                 14            0               0              0
##    Troglodytes_troglodytes Turdus_merula Turdus_philomelos site
## 1                        0            27                 0 BE10
## 2                       10            37                 0 BE11
## 3                        4            30                 1 BE12
## 4                       14            27                11 BE13
## 5                        5            54                11 BE14
## 6                        3            13                 3 BE15
## 7                        6            39                 1 BE16
## 8                        0            14                 5 BE17
## 9                        5            49                 1 BE18
## 10                       2            32                 4 BE19
## 11                      36            30                14  BE2
## 12                       0            14                 0 BE20
## 13                      15            54                 6 BE21
## 14                       1            27                 0 BE22
## 15                       0            26                 0 BE23
## 16                       1            27                 0 BE24
## 17                       0            18                 1 BE25
## 18                       5            26                 0 BE26
## 19                       1            24                 1 BE27
## 20                       9            14                 9 BE28
## 21                       0            41                 0 BE29
## 22                       9            25                 7  BE3
## 23                       6            46                 1 BE30
## 24                      26            40                14  BE4
## 25                       0            11                 0  BE5
## 26                       1            16                 1  BE6
## 27                       0            51                 1  BE7
## 28                       2            22                 0  BE8
## 29                      14            17                 5  BE9

Get the Hill Number for species richness

iNext package uses the data in a specific format: Matrix with species in rows, sites in columns.

# get the data in the proper format
bird_data <- column_to_rownames(bird_data, "site") 
bird_data <- t(bird_data)

# run inext function
birds_inext <- iNEXT(bird_data, q = 0, datatype = "abundance") # q = 0 -> species richness

#Show a summary of the data 
birds_inext$DataInfo
##    Assemblage   n S.obs     SC f1 f2 f3 f4 f5 f6 f7 f8 f9 f10
## 1        BE10 265    15 0.9850  4  3  0  1  0  0  0  0  1   2
## 2        BE11 423    32 0.9858  6  2  1  4  3  0  2  1  1   1
## 3        BE12 209    21 0.9906  2  3  0  6  2  0  1  0  0   1
## 4        BE13 333    42 0.9611 13  7  3  1  1  0  1  0  1   4
## 5        BE14 356    46 0.9608 14  7  1  3  3  4  1  0  0   1
## 6        BE15 157    41 0.9178 13  7  5  3  4  1  2  1  2   1
## 7        BE16 348    25 0.9914  3  3  0  4  0  2  3  0  0   1
## 8        BE17 209    31 0.9955  1  6  6  4  2  2  1  1  0   1
## 9        BE18 370    47 0.9568 16  5  4  6  2  0  1  3  1   0
## 10       BE19 345    37 0.9885  4  3  8  6  1  2  2  1  1   1
## 11        BE2 434    32 0.9862  6  6  1  0  2  2  1  0  1   0
## 12       BE20 149    20 0.9531  7  1  2  3  1  2  0  0  1   0
## 13       BE21 374    35 0.9867  5  2  4  2  2  3  1  3  0   0
## 14       BE22 232    23 0.9871  3  2  5  1  3  0  1  0  0   1
## 15       BE23 222    21 0.9820  4  0  5  2  2  1  0  0  0   0
## 16       BE24 312    20 0.9937  2  3  3  1  2  1  0  1  1   0
## 17       BE25 237    29 0.9707  7  7  1  0  4  0  1  0  1   2
## 18       BE26 305    26 0.9837  5  5  1  1  3  2  0  1  0   2
## 19       BE27 312    39 0.9584 13  5  5  2  1  0  1  0  2   0
## 20       BE28 267    30 0.9776  6  3  4  3  0  2  0  1  3   0
## 21       BE29 243    22 0.9919  2  3  2  0  3  1  0  0  2   1
## 22        BE3 294    40 0.9763  7  5  3  2  4  0  5  2  4   1
## 23       BE30 266    28 0.9588 11  4  1  0  0  1  1  0  2   1
## 24        BE4 415    32 0.9880  5  1  3  1  2  1  3  2  0   1
## 25        BE5 199    17 0.9850  3  2  0  1  4  1  2  0  0   1
## 26        BE6 208    26 0.9617  8  3  4  0  2  0  0  3  1   1
## 27        BE7 540    28 0.9852  8  5  1  1  1  0  1  2  0   1
## 28        BE8 219    24 0.9864  3  3  2  2  1  4  2  0  1   1
## 29        BE9 310    33 0.9742  8  2  3  1  4  2  1  0  0   1
#Show a summary of the data with diversity estimates in rarefied and extrapolated samples
head(birds_inext$iNextEst)
## $size_based
##      Assemblage    m        Method Order.q        qD    qD.LCL    qD.UCL
## 1          BE10    1   Rarefaction       0  1.000000  1.000000  1.000000
## 2          BE10   15   Rarefaction       0  5.138521  4.558673  5.718369
## 3          BE10   30   Rarefaction       0  7.261204  6.411550  8.110859
## 4          BE10   44   Rarefaction       0  8.493792  7.477987  9.509598
## 5          BE10   59   Rarefaction       0  9.433917  8.275937 10.591897
## 6          BE10   74   Rarefaction       0 10.164352  8.884752 11.443953
## 7          BE10   88   Rarefaction       0 10.736162  9.356246 12.116079
## 8          BE10  103   Rarefaction       0 11.274111  9.797721 12.750501
## 9          BE10  117   Rarefaction       0 11.727559 10.169361 13.285757
## 10         BE10  132   Rarefaction       0 12.174118 10.535356 13.812881
## 11         BE10  147   Rarefaction       0 12.587566 10.874100 14.301033
## 12         BE10  161   Rarefaction       0 12.947639 11.168560 14.726717
## 13         BE10  176   Rarefaction       0 13.308532 11.462378 15.154686
## 14         BE10  190   Rarefaction       0 13.623868 11.717064 15.530672
## 15         BE10  205   Rarefaction       0 13.940110 11.969279 15.910940
## 16         BE10  220   Rarefaction       0 14.235107 12.200086 16.270128
## 17         BE10  234   Rarefaction       0 14.492039 12.395942 16.588136
## 18         BE10  249   Rarefaction       0 14.748190 12.584344 16.912036
## 19         BE10  264   Rarefaction       0 14.984906 12.749845 17.219967
## 20         BE10  265      Observed       0 15.000000 12.760041 17.239959
## 21         BE10  266 Extrapolation       0 15.015009 12.770134 17.259884
## 22         BE10  279 Extrapolation       0 15.202582 12.892171 17.512993
## 23         BE10  293 Extrapolation       0 15.389716 13.005406 17.774026
## 24         BE10  307 Extrapolation       0 15.562580 13.101044 18.024116
## 25         BE10  321 Extrapolation       0 15.722262 13.180324 18.264199
## 26         BE10  335 Extrapolation       0 15.869767 13.244438 18.495096
## 27         BE10  349 Extrapolation       0 16.006024 13.294529 18.717520
## 28         BE10  363 Extrapolation       0 16.131891 13.331690 18.932091
## 29         BE10  377 Extrapolation       0 16.248159 13.356966 19.139353
## 30         BE10  391 Extrapolation       0 16.355562 13.371348 19.339775
## 31         BE10  404 Extrapolation       0 16.447945 13.375768 19.520123
## 32         BE10  418 Extrapolation       0 16.540113 13.371737 19.708489
## 33         BE10  432 Extrapolation       0 16.625252 13.359401 19.891103
## 34         BE10  446 Extrapolation       0 16.703899 13.339534 20.068264
## 35         BE10  460 Extrapolation       0 16.776548 13.312860 20.240237
## 36         BE10  474 Extrapolation       0 16.843658 13.280048 20.407267
## 37         BE10  488 Extrapolation       0 16.905650 13.241721 20.569579
## 38         BE10  502 Extrapolation       0 16.962915 13.198452 20.727377
## 39         BE10  516 Extrapolation       0 17.015813 13.150770 20.880855
## 40         BE10  530 Extrapolation       0 17.064677 13.099162 21.030191
## 41         BE11    1   Rarefaction       0  1.000000  1.000000  1.000000
## 42         BE11   24   Rarefaction       0 12.039825 11.389527 12.690122
## 43         BE11   47   Rarefaction       0 17.059840 16.041292 18.078388
## 44         BE11   71   Rarefaction       0 20.301219 18.999907 21.602530
## 45         BE11   94   Rarefaction       0 22.469926 20.930188 24.009665
## 46         BE11  117   Rarefaction       0 24.094760 22.333840 25.855681
## 47         BE11  141   Rarefaction       0 25.411433 23.436580 27.386286
## 48         BE11  164   Rarefaction       0 26.423742 24.259409 28.588076
## 49         BE11  188   Rarefaction       0 27.295731 24.948079 29.643383
## 50         BE11  211   Rarefaction       0 28.002310 25.490393 30.514227
## 51         BE11  234   Rarefaction       0 28.614707 25.947217 31.282197
## 52         BE11  258   Rarefaction       0 29.177696 26.354620 32.000771
## 53         BE11  281   Rarefaction       0 29.661529 26.693642 32.629415
## 54         BE11  305   Rarefaction       0 30.121871 27.005320 33.238422
## 55         BE11  328   Rarefaction       0 30.530064 27.271708 33.788419
## 56         BE11  351   Rarefaction       0 30.913169 27.512248 34.314091
## 57         BE11  375   Rarefaction       0 31.291853 27.740065 34.843640
## 58         BE11  398   Rarefaction       0 31.638444 27.939012 35.337876
## 59         BE11  422   Rarefaction       0 31.985816 28.128177 35.843454
## 60         BE11  423      Observed       0 32.000000 28.135665 35.864335
## 61         BE11  424 Extrapolation       0 32.014162 28.143122 35.885202
## 62         BE11  446 Extrapolation       0 32.320137 28.299367 36.340907
## 63         BE11  468 Extrapolation       0 32.615669 28.441082 36.790255
## 64         BE11  490 Extrapolation       0 32.901113 28.568850 37.233377
## 65         BE11  512 Extrapolation       0 33.176815 28.683252 37.670379
## 66         BE11  535 Extrapolation       0 33.454993 28.789192 38.120794
## 67         BE11  557 Extrapolation       0 33.711790 28.878057 38.545523
## 68         BE11  579 Extrapolation       0 33.959822 28.955311 38.964333
## 69         BE11  601 Extrapolation       0 34.199389 29.021514 39.377263
## 70         BE11  623 Extrapolation       0 34.430778 29.077216 39.784341
## 71         BE11  646 Extrapolation       0 34.664246 29.124799 40.203693
## 72         BE11  668 Extrapolation       0 34.879769 29.160664 40.598874
## 73         BE11  690 Extrapolation       0 35.087936 29.187599 40.988274
## 74         BE11  712 Extrapolation       0 35.288999 29.206084 41.371913
## 75         BE11  734 Extrapolation       0 35.483198 29.216577 41.749820
## 76         BE11  757 Extrapolation       0 35.679142 29.219479 42.138804
## 77         BE11  779 Extrapolation       0 35.860025 29.214972 42.505077
## 78         BE11  801 Extrapolation       0 36.034734 29.203751 42.865718
## 79         BE11  823 Extrapolation       0 36.203481 29.186195 43.220767
## 80         BE11  846 Extrapolation       0 36.373742 29.161460 43.586025
## 81         BE12    1   Rarefaction       0  1.000000  1.000000  1.000000
## 82         BE12   12   Rarefaction       0  7.345013  6.928765  7.761262
## 83         BE12   24   Rarefaction       0 10.836125 10.105233 11.567017
## 84         BE12   35   Rarefaction       0 12.944978 12.004076 13.885880
## 85         BE12   47   Rarefaction       0 14.630594 13.534880 15.726308
## 86         BE12   58   Rarefaction       0 15.821994 14.633862 17.010125
## 87         BE12   70   Rarefaction       0 16.854248 15.597038 18.111457
## 88         BE12   81   Rarefaction       0 17.616638 16.309893 18.923383
## 89         BE12   93   Rarefaction       0 18.293314 16.936219 19.650409
## 90         BE12  104   Rarefaction       0 18.800803 17.395310 20.206295
## 91         BE12  116   Rarefaction       0 19.256608 17.793333 20.719883
## 92         BE12  127   Rarefaction       0 19.602546 18.081654 21.123437
## 93         BE12  139   Rarefaction       0 19.917558 18.329905 21.505211
## 94         BE12  150   Rarefaction       0 20.160627 18.509580 21.811674
## 95         BE12  162   Rarefaction       0 20.386195 18.664999 22.107392
## 96         BE12  173   Rarefaction       0 20.563733 18.778201 22.349266
## 97         BE12  185   Rarefaction       0 20.731389 18.876112 22.586666
## 98         BE12  196   Rarefaction       0 20.864776 18.945942 22.783610
## 99         BE12  208   Rarefaction       0 20.990431 19.002179 22.978682
## 100        BE12  209      Observed       0 21.000000 19.005933 22.994067
## 101        BE12  210 Extrapolation       0 21.009433 19.009568 23.009298
## 102        BE12  220 Extrapolation       0 21.096696 19.039629 23.153763
## 103        BE12  231 Extrapolation       0 21.179299 19.060621 23.297976
## 104        BE12  242 Extrapolation       0 21.249863 19.070806 23.428921
## 105        BE12  253 Extrapolation       0 21.310144 19.072015 23.548273
## 106        BE12  264 Extrapolation       0 21.361639 19.065877 23.657401
## 107        BE12  275 Extrapolation       0 21.405629 19.053784 23.757473
## 108        BE12  286 Extrapolation       0 21.443208 19.036904 23.849511
## 109        BE12  297 Extrapolation       0 21.475310 19.016207 23.934412
## 110        BE12  308 Extrapolation       0 21.502734 18.992497 24.012970
## 111        BE12  319 Extrapolation       0 21.526160 18.966437 24.085884
## 112        BE12  330 Extrapolation       0 21.546173 18.938579 24.153767
## 113        BE12  341 Extrapolation       0 21.563269 18.909378 24.217160
## 114        BE12  352 Extrapolation       0 21.577873 18.879211 24.276536
## 115        BE12  363 Extrapolation       0 21.590349 18.848391 24.332308
## 116        BE12  374 Extrapolation       0 21.601007 18.817176 24.384838
## 117        BE12  385 Extrapolation       0 21.610111 18.785779 24.434444
## 118        BE12  396 Extrapolation       0 21.617889 18.754377 24.481401
## 119        BE12  407 Extrapolation       0 21.624533 18.723114 24.525952
## 120        BE12  418 Extrapolation       0 21.630209 18.692107 24.568311
## 121        BE13    1   Rarefaction       0  1.000000  1.000000  1.000000
## 122        BE13   19   Rarefaction       0 12.630236 12.098894 13.161577
## 123        BE13   37   Rarefaction       0 18.418019 17.307160 19.528877
## 124        BE13   56   Rarefaction       0 22.229059 20.630901 23.827216
## 125        BE13   74   Rarefaction       0 24.851477 22.878298 26.824655
## 126        BE13   92   Rarefaction       0 26.959730 24.677579 29.241881
## 127        BE13  111   Rarefaction       0 28.848596 26.295705 31.401488
## 128        BE13  129   Rarefaction       0 30.427141 27.656658 33.197623
## 129        BE13  148   Rarefaction       0 31.933919 28.962903 34.904935
## 130        BE13  166   Rarefaction       0 33.243929 30.102017 36.385841
## 131        BE13  184   Rarefaction       0 34.459533 31.159101 37.759964
## 132        BE13  203   Rarefaction       0 35.654192 32.194954 39.113431
## 133        BE13  221   Rarefaction       0 36.711440 33.106399 40.316480
## 134        BE13  240   Rarefaction       0 37.756304 33.999504 41.513104
## 135        BE13  258   Rarefaction       0 38.684490 34.783938 42.585041
## 136        BE13  276   Rarefaction       0 39.557362 35.511466 43.603257
## 137        BE13  295   Rarefaction       0 40.423182 36.220629 44.625735
## 138        BE13  313   Rarefaction       0 41.194588 36.839269 45.549907
## 139        BE13  332   Rarefaction       0 41.960961 37.438526 46.483396
## 140        BE13  333      Observed       0 42.000000 37.468579 46.531421
## 141        BE13  334 Extrapolation       0 42.038913 37.498486 46.579339
## 142        BE13  351 Extrapolation       0 42.681509 37.984686 47.378332
## 143        BE13  368 Extrapolation       0 43.289684 38.429671 48.149696
## 144        BE13  386 Extrapolation       0 43.898162 38.857343 48.938982
## 145        BE13  403 Extrapolation       0 44.441165 39.221756 49.660575
## 146        BE13  421 Extrapolation       0 44.984440 39.567682 50.401197
## 147        BE13  438 Extrapolation       0 45.469255 39.858582 51.079928
## 148        BE13  456 Extrapolation       0 45.954312 40.130816 51.777808
## 149        BE13  473 Extrapolation       0 46.387175 40.356159 52.418190
## 150        BE13  491 Extrapolation       0 46.820254 40.563305 53.077202
## 151        BE13  508 Extrapolation       0 47.206731 40.731232 53.682230
## 152        BE13  526 Extrapolation       0 47.593401 40.881787 54.305016
## 153        BE13  543 Extrapolation       0 47.938464 41.000108 54.876819
## 154        BE13  561 Extrapolation       0 48.283699 41.102038 55.465359
## 155        BE13  578 Extrapolation       0 48.591784 41.177942 56.005627
## 156        BE13  596 Extrapolation       0 48.900024 41.238467 56.561581
## 157        BE13  613 Extrapolation       0 49.175096 41.278387 57.071805
## 158        BE13  631 Extrapolation       0 49.450305 41.303907 57.596702
## 159        BE13  648 Extrapolation       0 49.695900 41.313501 58.078298
## 160        BE13  666 Extrapolation       0 49.941617 41.309609 58.573625
## 161        BE14    1   Rarefaction       0  1.000000  1.000000  1.000000
## 162        BE14   20   Rarefaction       0 13.090894 12.451034 13.730754
## 163        BE14   40   Rarefaction       0 19.715451 18.442431 20.988471
## 164        BE14   60   Rarefaction       0 24.044829 22.312664 25.776993
## 165        BE14   79   Rarefaction       0 27.113808 25.049160 29.178457
## 166        BE14   99   Rarefaction       0 29.707403 27.356952 32.057854
## 167        BE14  119   Rarefaction       0 31.874377 29.276915 34.471839
## 168        BE14  138   Rarefaction       0 33.653495 30.842854 36.464137
## 169        BE14  158   Rarefaction       0 35.306797 32.285593 38.328000
## 170        BE14  178   Rarefaction       0 36.786473 33.563847 40.009099
## 171        BE14  197   Rarefaction       0 38.065288 34.657302 41.473273
## 172        BE14  217   Rarefaction       0 39.303941 35.705899 42.901983
## 173        BE14  237   Rarefaction       0 40.452149 36.668659 44.235639
## 174        BE14  256   Rarefaction       0 41.472750 37.517063 45.428436
## 175        BE14  276   Rarefaction       0 42.483624 38.350573 46.616674
## 176        BE14  296   Rarefaction       0 43.437131 39.130292 47.743970
## 177        BE14  315   Rarefaction       0 44.294857 39.825669 48.764044
## 178        BE14  335   Rarefaction       0 45.150687 40.512692 49.788682
## 179        BE14  355   Rarefaction       0 45.960674 41.154936 50.766412
## 180        BE14  356      Observed       0 46.000000 41.185879 50.814121
## 181        BE14  357 Extrapolation       0 46.039215 41.216711 50.861719
## 182        BE14  375 Extrapolation       0 46.726552 41.752726 51.700378
## 183        BE14  394 Extrapolation       0 47.415292 42.279960 52.550624
## 184        BE14  413 Extrapolation       0 48.068189 42.768383 53.367995
## 185        BE14  431 Extrapolation       0 48.655350 43.196218 54.114482
## 186        BE14  450 Extrapolation       0 49.243710 43.612166 54.875255
## 187        BE14  469 Extrapolation       0 49.801451 43.992857 55.610044
## 188        BE14  487 Extrapolation       0 50.303037 44.322369 56.283704
## 189        BE14  506 Extrapolation       0 50.805647 44.638860 56.972433
## 190        BE14  525 Extrapolation       0 51.282100 44.924826 57.639373
## 191        BE14  543 Extrapolation       0 51.710582 45.169130 58.252035
## 192        BE14  562 Extrapolation       0 52.139940 45.400546 58.879334
## 193        BE14  581 Extrapolation       0 52.546952 45.606439 59.487465
## 194        BE14  599 Extrapolation       0 52.912986 45.779440 60.046533
## 195        BE14  618 Extrapolation       0 53.279767 45.940285 60.619250
## 196        BE14  637 Extrapolation       0 53.627460 46.080268 61.174652
## 197        BE14  655 Extrapolation       0 53.940146 46.194953 61.685339
## 198        BE14  674 Extrapolation       0 54.253471 46.298397 62.208546
## 199        BE14  693 Extrapolation       0 54.550490 46.385025 62.715955
## 200        BE14  712 Extrapolation       0 54.832051 46.456056 63.208045
## 201        BE15    1   Rarefaction       0  1.000000  1.000000  1.000000
## 202        BE15    9   Rarefaction       0  7.814112  7.614152  8.014071
## 203        BE15   18   Rarefaction       0 13.581021 12.995790 14.166253
## 204        BE15   26   Rarefaction       0 17.562965 16.628578 18.497352
## 205        BE15   35   Rarefaction       0 21.159334 19.864740 22.453927
## 206        BE15   44   Rarefaction       0 24.092468 22.477594 25.707342
## 207        BE15   52   Rarefaction       0 26.293249 24.423719 28.162780
## 208        BE15   61   Rarefaction       0 28.424764 26.296305 30.553223
## 209        BE15   69   Rarefaction       0 30.080357 27.740728 32.419985
## 210        BE15   78   Rarefaction       0 31.730038 29.168294 34.291781
## 211        BE15   87   Rarefaction       0 33.197592 30.424748 35.970437
## 212        BE15   95   Rarefaction       0 34.376523 31.421608 37.331438
## 213        BE15  104   Rarefaction       0 35.585023 32.428308 38.741737
## 214        BE15  112   Rarefaction       0 36.570246 33.234691 39.905800
## 215        BE15  121   Rarefaction       0 37.593139 34.055025 41.131254
## 216        BE15  130   Rarefaction       0 38.537964 34.794186 42.281743
## 217        BE15  138   Rarefaction       0 39.320806 35.390435 43.251178
## 218        BE15  147   Rarefaction       0 40.145276 35.999560 44.290993
## 219        BE15  156   Rarefaction       0 40.917197 36.549218 45.285177
## 220        BE15  157      Observed       0 41.000000 36.606846 45.393154
## 221        BE15  158 Extrapolation       0 41.082235 36.663807 45.500663
## 222        BE15  166 Extrapolation       0 41.720138 37.096086 46.344190
## 223        BE15  174 Extrapolation       0 42.323882 37.488538 47.159225
## 224        BE15  182 Extrapolation       0 42.895295 37.843661 47.946929
## 225        BE15  190 Extrapolation       0 43.436109 38.163908 48.708309
## 226        BE15  199 Extrapolation       0 44.009986 38.485474 49.534497
## 227        BE15  207 Extrapolation       0 44.491108 38.739447 50.242769
## 228        BE15  215 Extrapolation       0 44.946466 38.965718 50.927215
## 229        BE15  223 Extrapolation       0 45.377440 39.166365 51.588516
## 230        BE15  231 Extrapolation       0 45.785336 39.343345 52.227326
## 231        BE15  240 Extrapolation       0 46.218168 39.516437 52.919898
## 232        BE15  248 Extrapolation       0 46.581042 39.649060 53.513024
## 233        BE15  256 Extrapolation       0 46.924485 39.763340 54.085629
## 234        BE15  264 Extrapolation       0 47.249536 39.860739 54.638333
## 235        BE15  272 Extrapolation       0 47.557180 39.942608 55.171753
## 236        BE15  281 Extrapolation       0 47.883633 40.017703 55.749563
## 237        BE15  289 Extrapolation       0 48.157322 40.070610 56.244034
## 238        BE15  297 Extrapolation       0 48.416355 40.111590 56.721120
## 239        BE15  305 Extrapolation       0 48.661516 40.141620 57.181413
## 240        BE15  314 Extrapolation       0 48.921666 40.163435 57.679897
## 241        BE16    1   Rarefaction       0  1.000000  1.000000  1.000000
## 242        BE16   20   Rarefaction       0  9.838871  9.180555 10.497186
## 243        BE16   39   Rarefaction       0 13.870646 12.867911 14.873381
## 244        BE16   58   Rarefaction       0 16.410256 15.209391 17.611120
## 245        BE16   77   Rarefaction       0 18.170957 16.827443 19.514471
## 246        BE16   97   Rarefaction       0 19.523013 18.055870 20.990155
## 247        BE16  116   Rarefaction       0 20.500838 18.927527 22.074149
## 248        BE16  135   Rarefaction       0 21.275369 19.600527 22.950210
## 249        BE16  154   Rarefaction       0 21.904830 20.130444 23.679215
## 250        BE16  174   Rarefaction       0 22.452784 20.574842 24.330726
## 251        BE16  193   Rarefaction       0 22.891794 20.916680 24.866908
## 252        BE16  212   Rarefaction       0 23.270094 21.199395 25.340792
## 253        BE16  231   Rarefaction       0 23.600869 21.436667 25.765070
## 254        BE16  250   Rarefaction       0 23.893699 21.638504 26.148894
## 255        BE16  270   Rarefaction       0 24.168590 21.820644 26.516536
## 256        BE16  289   Rarefaction       0 24.403287 21.970240 26.836334
## 257        BE16  308   Rarefaction       0 24.615804 22.100548 27.131061
## 258        BE16  327   Rarefaction       0 24.808491 22.213701 27.403281
## 259        BE16  347   Rarefaction       0 24.991379 22.315324 27.667435
## 260        BE16  348      Observed       0 25.000000 22.319936 27.680064
## 261        BE16  349 Extrapolation       0 25.008571 22.324499 27.692644
## 262        BE16  367 Extrapolation       0 25.154722 22.398405 27.911038
## 263        BE16  385 Extrapolation       0 25.286509 22.457296 28.115721
## 264        BE16  403 Extrapolation       0 25.405344 22.502188 28.308500
## 265        BE16  422 Extrapolation       0 25.518135 22.535631 28.500639
## 266        BE16  440 Extrapolation       0 25.614207 22.555307 28.673106
## 267        BE16  458 Extrapolation       0 25.700837 22.564442 28.837231
## 268        BE16  476 Extrapolation       0 25.778953 22.564101 28.993805
## 269        BE16  495 Extrapolation       0 25.853096 22.554561 29.151631
## 270        BE16  513 Extrapolation       0 25.916248 22.537792 29.294705
## 271        BE16  531 Extrapolation       0 25.973195 22.514363 29.432026
## 272        BE16  549 Extrapolation       0 26.024544 22.485049 29.564039
## 273        BE16  568 Extrapolation       0 26.073282 22.448500 29.698064
## 274        BE16  586 Extrapolation       0 26.114795 22.409231 29.820359
## 275        BE16  604 Extrapolation       0 26.152228 22.366034 29.938423
## 276        BE16  622 Extrapolation       0 26.185983 22.319429 30.052537
## 277        BE16  641 Extrapolation       0 26.218021 22.267056 30.168986
## 278        BE16  659 Extrapolation       0 26.245309 22.214869 30.275749
## 279        BE16  677 Extrapolation       0 26.269916 22.160568 30.379264
## 280        BE16  696 Extrapolation       0 26.293271 22.101330 30.485212
## 281        BE17    1   Rarefaction       0  1.000000  1.000000  1.000000
## 282        BE17   12   Rarefaction       0  9.239218  8.825713  9.652723
## 283        BE17   24   Rarefaction       0 14.739250 13.771952 15.706548
## 284        BE17   35   Rarefaction       0 18.171689 16.839039 19.504338
## 285        BE17   47   Rarefaction       0 20.939536 19.345130 22.533943
## 286        BE17   58   Rarefaction       0 22.907156 21.158352 24.655959
## 287        BE17   70   Rarefaction       0 24.622764 22.763615 26.481913
## 288        BE17   81   Rarefaction       0 25.898287 23.969871 27.826703
## 289        BE17   93   Rarefaction       0 27.036050 25.051475 29.020625
## 290        BE17  104   Rarefaction       0 27.890092 25.863369 29.916814
## 291        BE17  116   Rarefaction       0 28.652185 26.583907 30.720463
## 292        BE17  127   Rarefaction       0 29.220580 27.115216 31.325943
## 293        BE17  139   Rarefaction       0 29.721365 27.574642 31.868088
## 294        BE17  150   Rarefaction       0 30.087637 27.901154 32.274119
## 295        BE17  162   Rarefaction       0 30.401422 28.168859 32.633985
## 296        BE17  173   Rarefaction       0 30.621954 28.344187 32.899722
## 297        BE17  185   Rarefaction       0 30.800304 28.469343 33.131264
## 298        BE17  196   Rarefaction       0 30.915086 28.530959 33.299213
## 299        BE17  208   Rarefaction       0 30.995215 28.546851 33.443579
## 300        BE17  209      Observed       0 31.000000 28.545929 33.454071
## 301        BE17  210 Extrapolation       0 31.004524 28.544704 33.464344
## 302        BE17  220 Extrapolation       0 31.038186 28.519140 33.557231
## 303        BE17  231 Extrapolation       0 31.058789 28.472206 33.645373
## 304        BE17  242 Extrapolation       0 31.069907 28.414433 33.725380
## 305        BE17  253 Extrapolation       0 31.075905 28.350899 33.800912
## 306        BE17  264 Extrapolation       0 31.079142 28.284474 33.873809
## 307        BE17  275 Extrapolation       0 31.080888 28.216842 33.944934
## 308        BE17  286 Extrapolation       0 31.081830 28.149025 34.014635
## 309        BE17  297 Extrapolation       0 31.082339 28.081667 34.083010
## 310        BE17  308 Extrapolation       0 31.082613 28.015183 34.150043
## 311        BE17  319 Extrapolation       0 31.082761 27.949847 34.215675
## 312        BE17  330 Extrapolation       0 31.082841 27.885839 34.279843
## 313        BE17  341 Extrapolation       0 31.082884 27.823278 34.342490
## 314        BE17  352 Extrapolation       0 31.082907 27.762239 34.403575
## 315        BE17  363 Extrapolation       0 31.082920 27.702765 34.463074
## 316        BE17  374 Extrapolation       0 31.082927 27.644877 34.520976
## 317        BE17  385 Extrapolation       0 31.082930 27.588578 34.577283
## 318        BE17  396 Extrapolation       0 31.082932 27.533858 34.632007
## 319        BE17  407 Extrapolation       0 31.082933 27.480700 34.685167
## 320        BE17  418 Extrapolation       0 31.082934 27.429077 34.736791
## 321        BE18    1   Rarefaction       0  1.000000  1.000000  1.000000
## 322        BE18   21   Rarefaction       0 12.112884 11.395383 12.830385
## 323        BE18   41   Rarefaction       0 18.210635 16.923681 19.497589
## 324        BE18   62   Rarefaction       0 22.736555 20.939060 24.534050
## 325        BE18   82   Rarefaction       0 26.072384 23.851754 28.293014
## 326        BE18  103   Rarefaction       0 28.939061 26.323521 31.554600
## 327        BE18  123   Rarefaction       0 31.252803 28.295463 34.210143
## 328        BE18  144   Rarefaction       0 33.362580 30.072890 36.652271
## 329        BE18  164   Rarefaction       0 35.137727 31.550854 38.724600
## 330        BE18  185   Rarefaction       0 36.807405 32.924524 40.690286
## 331        BE18  205   Rarefaction       0 38.247899 34.095569 42.400229
## 332        BE18  225   Rarefaction       0 39.568693 35.157023 43.980363
## 333        BE18  246   Rarefaction       0 40.848993 36.174106 45.523879
## 334        BE18  266   Rarefaction       0 41.984018 37.065599 46.902437
## 335        BE18  287   Rarefaction       0 43.102250 37.934099 48.270400
## 336        BE18  307   Rarefaction       0 44.108755 38.707031 49.510479
## 337        BE18  328   Rarefaction       0 45.114332 39.470285 50.758380
## 338        BE18  348   Rarefaction       0 46.030936 40.157415 51.904456
## 339        BE18  369   Rarefaction       0 46.956757 40.842078 53.071436
## 340        BE18  370      Observed       0 47.000000 40.873805 53.126195
## 341        BE18  371 Extrapolation       0 47.043170 40.905454 53.180886
## 342        BE18  390 Extrapolation       0 47.849673 41.492134 54.207212
## 343        BE18  409 Extrapolation       0 48.630655 42.051102 55.210209
## 344        BE18  429 Extrapolation       0 49.426060 42.609788 56.242331
## 345        BE18  448 Extrapolation       0 50.157161 43.112606 57.201716
## 346        BE18  468 Extrapolation       0 50.901762 43.612867 58.190658
## 347        BE18  487 Extrapolation       0 51.586168 44.060996 59.111341
## 348        BE18  506 Extrapolation       0 52.248917 44.483227 60.014607
## 349        BE18  526 Extrapolation       0 52.923905 44.900360 60.947449
## 350        BE18  545 Extrapolation       0 53.544324 45.271378 61.817270
## 351        BE18  565 Extrapolation       0 54.176200 45.636149 62.716250
## 352        BE18  584 Extrapolation       0 54.756993 45.959005 63.554981
## 353        BE18  604 Extrapolation       0 55.348510 46.274834 64.422187
## 354        BE18  623 Extrapolation       0 55.892208 46.552923 65.231493
## 355        BE18  642 Extrapolation       0 56.418702 46.810486 66.026917
## 356        BE18  662 Extrapolation       0 56.954917 47.060363 66.849472
## 357        BE18  681 Extrapolation       0 57.447784 47.278449 67.617119
## 358        BE18  701 Extrapolation       0 57.949751 47.488632 68.410870
## 359        BE18  720 Extrapolation       0 58.411138 47.670751 69.151526
## 360        BE18  740 Extrapolation       0 58.881045 47.844868 69.917222
## 361        BE19    1   Rarefaction       0  1.000000  1.000000  1.000000
## 362        BE19   20   Rarefaction       0 11.653124 11.021490 12.284757
## 363        BE19   39   Rarefaction       0 17.536342 16.489377 18.583306
## 364        BE19   58   Rarefaction       0 21.624550 20.261792 22.987309
## 365        BE19   77   Rarefaction       0 24.681593 23.072754 26.290432
## 366        BE19   96   Rarefaction       0 27.060479 25.257671 28.863287
## 367        BE19  115   Rarefaction       0 28.957737 26.998266 30.917207
## 368        BE19  134   Rarefaction       0 30.494614 28.404814 32.584414
## 369        BE19  153   Rarefaction       0 31.751758 29.550513 33.953002
## 370        BE19  172   Rarefaction       0 32.786321 30.487500 35.085142
## 371        BE19  191   Rarefaction       0 33.640998 31.254941 36.027055
## 372        BE19  210   Rarefaction       0 34.349033 31.883445 36.814622
## 373        BE19  229   Rarefaction       0 34.937175 32.397664 37.476685
## 374        BE19  248   Rarefaction       0 35.427491 32.817904 38.037079
## 375        BE19  267   Rarefaction       0 35.838555 33.161171 38.515939
## 376        BE19  286   Rarefaction       0 36.186226 33.441859 38.930594
## 377        BE19  305   Rarefaction       0 36.484182 33.672200 39.296165
## 378        BE19  324   Rarefaction       0 36.744274 33.862554 39.625994
## 379        BE19  344   Rarefaction       0 36.988406 34.029235 39.947577
## 380        BE19  345      Observed       0 37.000000 34.036813 39.963187
## 381        BE19  346 Extrapolation       0 37.011544 34.044325 39.978762
## 382        BE19  364 Extrapolation       0 37.210970 34.168555 40.253386
## 383        BE19  382 Extrapolation       0 37.395374 34.272791 40.517958
## 384        BE19  400 Extrapolation       0 37.565887 34.358263 40.773511
## 385        BE19  418 Extrapolation       0 37.723556 34.426256 41.020856
## 386        BE19  436 Extrapolation       0 37.869347 34.478103 41.260590
## 387        BE19  454 Extrapolation       0 38.004156 34.515166 41.493145
## 388        BE19  472 Extrapolation       0 38.128809 34.538792 41.718826
## 389        BE19  490 Extrapolation       0 38.244073 34.550296 41.937850
## 390        BE19  508 Extrapolation       0 38.350654 34.550927 42.150381
## 391        BE19  527 Extrapolation       0 38.454458 34.541095 42.367821
## 392        BE19  545 Extrapolation       0 38.545191 34.522974 42.567408
## 393        BE19  563 Extrapolation       0 38.629089 34.497301 42.760877
## 394        BE19  581 Extrapolation       0 38.706667 34.464984 42.948349
## 395        BE19  599 Extrapolation       0 38.778401 34.426847 43.129954
## 396        BE19  617 Extrapolation       0 38.844731 34.383635 43.305827
## 397        BE19  635 Extrapolation       0 38.906065 34.336015 43.476115
## 398        BE19  653 Extrapolation       0 38.962778 34.284590 43.640967
## 399        BE19  671 Extrapolation       0 39.015219 34.229897 43.800541
## 400        BE19  690 Extrapolation       0 39.066295 34.169155 43.963434
## 401         BE2    1   Rarefaction       0  1.000000  1.000000  1.000000
## 402         BE2   25   Rarefaction       0 13.023076 12.478861 13.567291
## 403         BE2   49   Rarefaction       0 17.407399 16.390634 18.424164
## 404         BE2   73   Rarefaction       0 19.980530 18.625280 21.335779
## 405         BE2   97   Rarefaction       0 21.838222 20.233468 23.442976
## 406         BE2  121   Rarefaction       0 23.304229 21.505948 25.102510
## 407         BE2  145   Rarefaction       0 24.518636 22.562727 26.474545
## 408         BE2  169   Rarefaction       0 25.557721 23.467186 27.648257
## 409         BE2  193   Rarefaction       0 26.467683 24.256878 28.678488
## 410         BE2  217   Rarefaction       0 27.278150 24.955477 29.600824
## 411         BE2  241   Rarefaction       0 28.008871 25.578566 30.439177
## 412         BE2  265   Rarefaction       0 28.673349 26.136769 31.209929
## 413         BE2  289   Rarefaction       0 29.280941 26.637531 31.924352
## 414         BE2  313   Rarefaction       0 29.838156 27.086173 32.590139
## 415         BE2  337   Rarefaction       0 30.349501 27.486544 33.212459
## 416         BE2  361   Rarefaction       0 30.818092 27.841442 33.794742
## 417         BE2  385   Rarefaction       0 31.246090 28.152901 34.339280
## 418         BE2  409   Rarefaction       0 31.635050 28.422406 34.847694
## 419         BE2  433   Rarefaction       0 31.986175 28.651065 35.321286
## 420         BE2  434      Observed       0 32.000000 28.659719 35.340281
## 421         BE2  435 Extrapolation       0 32.013761 28.668064 35.359459
## 422         BE2  457 Extrapolation       0 32.301007 28.834639 35.767374
## 423         BE2  480 Extrapolation       0 32.571742 28.976110 36.167373
## 424         BE2  503 Extrapolation       0 32.815250 29.087282 36.543217
## 425         BE2  526 Extrapolation       0 33.034269 29.171149 36.897389
## 426         BE2  548 Extrapolation       0 33.223124 29.228420 37.217828
## 427         BE2  571 Extrapolation       0 33.401124 29.266837 37.535412
## 428         BE2  594 Extrapolation       0 33.561224 29.285714 37.836733
## 429         BE2  617 Extrapolation       0 33.705222 29.287277 38.123168
## 430         BE2  640 Extrapolation       0 33.834739 29.273549 38.395930
## 431         BE2  662 Extrapolation       0 33.946419 29.247801 38.645037
## 432         BE2  685 Extrapolation       0 34.051680 29.209285 38.894074
## 433         BE2  708 Extrapolation       0 34.146354 29.160381 39.132328
## 434         BE2  731 Extrapolation       0 34.231508 29.102421 39.360595
## 435         BE2  754 Extrapolation       0 34.308098 29.036596 39.579600
## 436         BE2  776 Extrapolation       0 34.374140 28.967256 39.781023
## 437         BE2  799 Extrapolation       0 34.436386 28.889014 39.983757
## 438         BE2  822 Extrapolation       0 34.492372 28.805728 40.179015
## 439         BE2  845 Extrapolation       0 34.542727 28.718151 40.367303
## 440         BE2  868 Extrapolation       0 34.588019 28.626955 40.549083
## 441        BE20    1   Rarefaction       0  1.000000  1.000000  1.000000
## 442        BE20    9   Rarefaction       0  4.998871  4.440355  5.557386
## 443        BE20   17   Rarefaction       0  7.549573  6.587594  8.511551
## 444        BE20   25   Rarefaction       0  9.491694  8.155433 10.827954
## 445        BE20   33   Rarefaction       0 11.025323  9.342673 12.707973
## 446        BE20   41   Rarefaction       0 12.273575 10.272634 14.274516
## 447        BE20   50   Rarefaction       0 13.433704 11.103259 15.764150
## 448        BE20   58   Rarefaction       0 14.304538 11.700979 16.908098
## 449        BE20   66   Rarefaction       0 15.061033 12.198281 17.923785
## 450        BE20   74   Rarefaction       0 15.728438 12.616884 18.839992
## 451        BE20   82   Rarefaction       0 16.325805 12.973166 19.678445
## 452        BE20   90   Rarefaction       0 16.867926 13.279902 20.455950
## 453        BE20   99   Rarefaction       0 17.426259 13.578340 21.274179
## 454        BE20  107   Rarefaction       0 17.886975 13.811103 21.962847
## 455        BE20  115   Rarefaction       0 18.321915 14.020025 22.623804
## 456        BE20  123   Rarefaction       0 18.737000 14.210320 23.263680
## 457        BE20  131   Rarefaction       0 19.136982 14.386192 23.887772
## 458        BE20  139   Rarefaction       0 19.525643 14.551010 24.500276
## 459        BE20  148   Rarefaction       0 19.953020 14.726511 25.179529
## 460        BE20  149      Observed       0 20.000000 14.745488 25.254512
## 461        BE20  150 Extrapolation       0 20.046889 14.764372 25.329407
## 462        BE20  157 Extrapolation       0 20.372595 14.893947 25.851243
## 463        BE20  165 Extrapolation       0 20.739485 15.036391 26.442579
## 464        BE20  173 Extrapolation       0 21.100758 15.172752 27.028763
## 465        BE20  181 Extrapolation       0 21.456499 15.302977 27.610022
## 466        BE20  188 Extrapolation       0 21.763302 15.411860 28.114744
## 467        BE20  196 Extrapolation       0 22.108900 15.530499 28.687300
## 468        BE20  204 Extrapolation       0 22.449206 15.642963 29.255448
## 469        BE20  212 Extrapolation       0 22.784301 15.749285 29.819318
## 470        BE20  220 Extrapolation       0 23.114267 15.849521 30.379012
## 471        BE20  227 Extrapolation       0 23.398839 15.932297 30.865382
## 472        BE20  235 Extrapolation       0 23.719395 16.021347 31.417444
## 473        BE20  243 Extrapolation       0 24.035044 16.104582 31.965505
## 474        BE20  251 Extrapolation       0 24.345859 16.182125 32.509593
## 475        BE20  259 Extrapolation       0 24.651916 16.254110 33.049722
## 476        BE20  266 Extrapolation       0 24.915869 16.312649 33.519089
## 477        BE20  274 Extrapolation       0 25.213198 16.374601 34.051796
## 478        BE20  282 Extrapolation       0 25.505975 16.431421 34.580530
## 479        BE20  290 Extrapolation       0 25.794270 16.483264 35.105276
## 480        BE20  298 Extrapolation       0 26.078150 16.530289 35.626012
## 481        BE21    1   Rarefaction       0  1.000000  1.000000  1.000000
## 482        BE21   21   Rarefaction       0 13.115679 12.507613 13.723744
## 483        BE21   42   Rarefaction       0 19.201210 18.177367 20.225053
## 484        BE21   63   Rarefaction       0 22.873653 21.591732 24.155574
## 485        BE21   83   Rarefaction       0 25.261995 23.786507 26.737483
## 486        BE21  104   Rarefaction       0 27.101914 25.450032 28.753796
## 487        BE21  125   Rarefaction       0 28.509440 26.698937 30.319942
## 488        BE21  145   Rarefaction       0 29.577591 27.628414 31.526769
## 489        BE21  166   Rarefaction       0 30.494988 28.410348 32.579628
## 490        BE21  187   Rarefaction       0 31.257564 29.045437 33.469691
## 491        BE21  207   Rarefaction       0 31.874714 29.546689 34.202739
## 492        BE21  228   Rarefaction       0 32.434287 29.988750 34.879824
## 493        BE21  249   Rarefaction       0 32.922967 30.362896 35.483038
## 494        BE21  269   Rarefaction       0 33.336297 30.668938 36.003655
## 495        BE21  290   Rarefaction       0 33.726760 30.947761 36.505760
## 496        BE21  311   Rarefaction       0 34.081608 31.191181 36.972034
## 497        BE21  331   Rarefaction       0 34.393189 31.396090 37.390288
## 498        BE21  352   Rarefaction       0 34.698527 31.588040 37.809015
## 499        BE21  373   Rarefaction       0 34.986631 31.760483 38.212779
## 500        BE21  374      Observed       0 35.000000 31.768272 38.231728
## 501        BE21  375 Extrapolation       0 35.013340 31.776025 38.250656
## 502        BE21  394 Extrapolation       0 35.261452 31.916232 38.606672
## 503        BE21  414 Extrapolation       0 35.511937 32.049132 38.974743
## 504        BE21  433 Extrapolation       0 35.740160 32.161515 39.318805
## 505        BE21  453 Extrapolation       0 35.970566 32.265598 39.675534
## 506        BE21  473 Extrapolation       0 36.191308 32.355716 40.026900
## 507        BE21  492 Extrapolation       0 36.392431 32.429089 40.355773
## 508        BE21  512 Extrapolation       0 36.595478 32.494246 40.696709
## 509        BE21  532 Extrapolation       0 36.790008 32.547874 41.032142
## 510        BE21  551 Extrapolation       0 36.967249 32.588933 41.345565
## 511        BE21  571 Extrapolation       0 37.146186 32.622553 41.669818
## 512        BE21  590 Extrapolation       0 37.309219 32.646094 41.972343
## 513        BE21  610 Extrapolation       0 37.473812 32.662760 42.284863
## 514        BE21  630 Extrapolation       0 37.631501 32.671798 42.591203
## 515        BE21  649 Extrapolation       0 37.775175 32.673916 42.876433
## 516        BE21  669 Extrapolation       0 37.920223 32.669915 43.170532
## 517        BE21  689 Extrapolation       0 38.059188 32.660067 43.458309
## 518        BE21  708 Extrapolation       0 38.185802 32.645761 43.725842
## 519        BE21  728 Extrapolation       0 38.313627 32.625936 44.001318
## 520        BE21  748 Extrapolation       0 38.436091 32.601642 44.270539
## 521        BE22    1   Rarefaction       0  1.000000  1.000000  1.000000
## 522        BE22   13   Rarefaction       0  7.899465  7.435384  8.363545
## 523        BE22   26   Rarefaction       0 11.603777 10.804000 12.403553
## 524        BE22   39   Rarefaction       0 13.950397 12.865118 15.035676
## 525        BE22   52   Rarefaction       0 15.644976 14.323377 16.966575
## 526        BE22   64   Rarefaction       0 16.872635 15.370846 18.374423
## 527        BE22   77   Rarefaction       0 17.957380 16.291299 19.623462
## 528        BE22   90   Rarefaction       0 18.852567 17.044655 20.660480
## 529        BE22  103   Rarefaction       0 19.599490 17.664438 21.534542
## 530        BE22  116   Rarefaction       0 20.226705 18.173534 22.279876
## 531        BE22  128   Rarefaction       0 20.718151 18.560457 22.875845
## 532        BE22  141   Rarefaction       0 21.171919 18.903225 23.440614
## 533        BE22  154   Rarefaction       0 21.557731 19.178470 23.936992
## 534        BE22  167   Rarefaction       0 21.887440 19.396771 24.378109
## 535        BE22  179   Rarefaction       0 22.150670 19.555734 24.745606
## 536        BE22  192   Rarefaction       0 22.399347 19.689482 25.109211
## 537        BE22  205   Rarefaction       0 22.617351 19.790275 25.444426
## 538        BE22  218   Rarefaction       0 22.811278 19.864568 25.757988
## 539        BE22  231   Rarefaction       0 22.987069 19.918164 26.055973
## 540        BE22  232      Observed       0 23.000000 19.921584 26.078416
## 541        BE22  233 Extrapolation       0 23.012857 19.924920 26.100793
## 542        BE22  245 Extrapolation       0 23.161503 19.958668 26.364337
## 543        BE22  257 Extrapolation       0 23.300229 19.981580 26.618879
## 544        BE22  269 Extrapolation       0 23.429698 19.994758 26.864639
## 545        BE22  281 Extrapolation       0 23.550527 19.999265 27.101789
## 546        BE22  293 Extrapolation       0 23.663292 19.996093 27.330491
## 547        BE22  305 Extrapolation       0 23.768532 19.986151 27.550913
## 548        BE22  318 Extrapolation       0 23.874632 19.968693 27.780571
## 549        BE22  330 Extrapolation       0 23.965768 19.947193 27.984344
## 550        BE22  342 Extrapolation       0 24.050823 19.921200 28.180446
## 551        BE22  354 Extrapolation       0 24.130201 19.891299 28.369104
## 552        BE22  366 Extrapolation       0 24.204283 19.858012 28.550554
## 553        BE22  378 Extrapolation       0 24.273420 19.821802 28.725039
## 554        BE22  391 Extrapolation       0 24.343123 19.779754 28.906491
## 555        BE22  403 Extrapolation       0 24.402995 19.738729 29.067261
## 556        BE22  415 Extrapolation       0 24.458872 19.695912 29.221831
## 557        BE22  427 Extrapolation       0 24.511020 19.651592 29.370448
## 558        BE22  439 Extrapolation       0 24.559688 19.606023 29.513352
## 559        BE22  451 Extrapolation       0 24.605108 19.559434 29.650781
## 560        BE22  464 Extrapolation       0 24.650899 19.508044 29.793753
## 561        BE23    1   Rarefaction       0  1.000000  1.000000  1.000000
## 562        BE23   13   Rarefaction       0  7.303662  6.875400  7.731923
## 563        BE23   25   Rarefaction       0 10.396894  9.691651 11.102137
## 564        BE23   37   Rarefaction       0 12.413750 11.470259 13.357241
## 565        BE23   49   Rarefaction       0 13.902563 12.770699 15.034427
## 566        BE23   62   Rarefaction       0 15.168013 13.874448 16.461579
## 567        BE23   74   Rarefaction       0 16.118072 14.699523 17.536620
## 568        BE23   86   Rarefaction       0 16.910940 15.379877 18.442002
## 569        BE23   98   Rarefaction       0 17.578553 15.940040 19.217067
## 570        BE23  111   Rarefaction       0 18.187333 16.432351 19.942316
## 571        BE23  123   Rarefaction       0 18.663242 16.797319 20.529165
## 572        BE23  135   Rarefaction       0 19.072157 17.090184 21.054131
## 573        BE23  147   Rarefaction       0 19.426951 17.323033 21.530869
## 574        BE23  159   Rarefaction       0 19.738685 17.506792 21.970577
## 575        BE23  172   Rarefaction       0 20.038857 17.661809 22.415905
## 576        BE23  184   Rarefaction       0 20.290118 17.773511 22.806724
## 577        BE23  196   Rarefaction       0 20.523969 17.862902 23.185037
## 578        BE23  208   Rarefaction       0 20.746715 17.936617 23.556813
## 579        BE23  221   Rarefaction       0 20.981982 18.005470 23.958494
## 580        BE23  222      Observed       0 21.000000 18.010473 23.989527
## 581        BE23  223 Extrapolation       0 21.017964 18.015394 24.020534
## 582        BE23  234 Extrapolation       0 21.212036 18.064245 24.359827
## 583        BE23  246 Extrapolation       0 21.416544 18.107035 24.726053
## 584        BE23  257 Extrapolation       0 21.597627 18.137352 25.057901
## 585        BE23  269 Extrapolation       0 21.788447 18.161504 25.415390
## 586        BE23  281 Extrapolation       0 21.972493 18.177138 25.767849
## 587        BE23  292 Extrapolation       0 22.135458 18.184636 26.086279
## 588        BE23  304 Extrapolation       0 22.307185 18.186016 26.428355
## 589        BE23  316 Extrapolation       0 22.472817 18.180920 26.764714
## 590        BE23  327 Extrapolation       0 22.619476 18.171059 27.067892
## 591        BE23  339 Extrapolation       0 22.774021 18.155132 27.392911
## 592        BE23  350 Extrapolation       0 22.910864 18.136192 27.685536
## 593        BE23  362 Extrapolation       0 23.055065 18.111202 27.998929
## 594        BE23  374 Extrapolation       0 23.194148 18.082082 28.306214
## 595        BE23  385 Extrapolation       0 23.317299 18.052070 28.582527
## 596        BE23  397 Extrapolation       0 23.447072 18.016016 28.878129
## 597        BE23  409 Extrapolation       0 23.572239 17.976797 29.167681
## 598        BE23  420 Extrapolation       0 23.683068 17.938302 29.427834
## 599        BE23  432 Extrapolation       0 23.799857 17.893766 29.705947
## 600        BE23  444 Extrapolation       0 23.912500 17.846806 29.978193
## 601        BE24    1   Rarefaction       0  1.000000  1.000000  1.000000
## 602        BE24   18   Rarefaction       0  6.864988  6.286655  7.443321
## 603        BE24   35   Rarefaction       0 10.030663  9.147847 10.913480
## 604        BE24   52   Rarefaction       0 12.141490 11.027201 13.255779
## 605        BE24   69   Rarefaction       0 13.673474 12.377518 14.969430
## 606        BE24   87   Rarefaction       0 14.906927 13.462414 16.351441
## 607        BE24  104   Rarefaction       0 15.825390 14.272311 17.378468
## 608        BE24  121   Rarefaction       0 16.572932 14.932970 18.212894
## 609        BE24  138   Rarefaction       0 17.191822 15.478936 18.904707
## 610        BE24  156   Rarefaction       0 17.738221 15.956688 19.519754
## 611        BE24  173   Rarefaction       0 18.172099 16.329328 20.014869
## 612        BE24  190   Rarefaction       0 18.540800 16.637356 20.444244
## 613        BE24  207   Rarefaction       0 18.855179 16.889792 20.820566
## 614        BE24  224   Rarefaction       0 19.123735 17.093981 21.153489
## 615        BE24  242   Rarefaction       0 19.365698 17.264330 21.467065
## 616        BE24  259   Rarefaction       0 19.560013 17.387196 21.732831
## 617        BE24  276   Rarefaction       0 19.725817 17.477387 21.974246
## 618        BE24  293   Rarefaction       0 19.867040 17.538371 22.195709
## 619        BE24  311   Rarefaction       0 19.993590 17.574306 22.412873
## 620        BE24  312      Observed       0 20.000000 17.575497 22.424503
## 621        BE24  313 Extrapolation       0 20.006349 17.576621 22.436077
## 622        BE24  329 Extrapolation       0 20.100065 17.586172 22.613957
## 623        BE24  345 Extrapolation       0 20.180437 17.581303 22.779571
## 624        BE24  362 Extrapolation       0 20.253331 17.562515 22.944148
## 625        BE24  378 Extrapolation       0 20.311880 17.533879 23.089882
## 626        BE24  394 Extrapolation       0 20.362093 17.496232 23.227953
## 627        BE24  411 Extrapolation       0 20.407634 17.447927 23.367340
## 628        BE24  427 Extrapolation       0 20.444212 17.395947 23.492477
## 629        BE24  443 Extrapolation       0 20.475582 17.338754 23.612411
## 630        BE24  460 Extrapolation       0 20.504034 17.273330 23.734738
## 631        BE24  476 Extrapolation       0 20.526886 17.208234 23.845539
## 632        BE24  493 Extrapolation       0 20.547613 17.136138 23.959088
## 633        BE24  509 Extrapolation       0 20.564260 17.066163 24.062357
## 634        BE24  525 Extrapolation       0 20.578537 16.994668 24.162406
## 635        BE24  542 Extrapolation       0 20.591486 16.917539 24.265433
## 636        BE24  558 Extrapolation       0 20.601886 16.844250 24.359522
## 637        BE24  574 Extrapolation       0 20.610806 16.770619 24.450993
## 638        BE24  591 Extrapolation       0 20.618896 16.692316 24.545475
## 639        BE24  607 Extrapolation       0 20.625393 16.618799 24.631988
## 640        BE24  624 Extrapolation       0 20.631286 16.541099 24.721474
## 641        BE25    1   Rarefaction       0  1.000000  1.000000  1.000000
## 642        BE25   14   Rarefaction       0  8.523522  7.957836  9.089208
## 643        BE25   27   Rarefaction       0 12.536058 11.515259 13.556858
## 644        BE25   40   Rarefaction       0 15.249265 13.828680 16.669849
## 645        BE25   53   Rarefaction       0 17.287512 15.528149 19.046875
## 646        BE25   66   Rarefaction       0 18.925222 16.883466 20.966979
## 647        BE25   79   Rarefaction       0 20.299450 18.021854 22.577046
## 648        BE25   92   Rarefaction       0 21.486615 19.010114 23.963117
## 649        BE25  105   Rarefaction       0 22.533260 19.886616 25.179904
## 650        BE25  118   Rarefaction       0 23.469568 20.674773 26.264363
## 651        BE25  131   Rarefaction       0 24.315982 21.389373 27.242590
## 652        BE25  144   Rarefaction       0 25.086767 22.039919 28.133615
## 653        BE25  157   Rarefaction       0 25.792078 22.632532 28.951625
## 654        BE25  170   Rarefaction       0 26.439213 23.171104 29.707322
## 655        BE25  183   Rarefaction       0 27.033413 23.658026 30.408800
## 656        BE25  196   Rarefaction       0 27.578409 24.094669 31.062149
## 657        BE25  209   Rarefaction       0 28.076819 24.481721 31.671918
## 658        BE25  222   Rarefaction       0 28.530470 24.819440 32.241501
## 659        BE25  236   Rarefaction       0 28.970464 25.128005 32.812923
## 660        BE25  237      Observed       0 29.000000 25.147857 32.852143
## 661        BE25  238 Extrapolation       0 29.029288 25.167419 32.891157
## 662        BE25  250 Extrapolation       0 29.362122 25.380217 33.344027
## 663        BE25  262 Extrapolation       0 29.662902 25.554702 33.771102
## 664        BE25  275 Extrapolation       0 29.956147 25.704084 34.208210
## 665        BE25  287 Extrapolation       0 30.199717 25.808588 34.590847
## 666        BE25  300 Extrapolation       0 30.437187 25.889047 34.985326
## 667        BE25  312 Extrapolation       0 30.634429 25.935991 35.332868
## 668        BE25  324 Extrapolation       0 30.812676 25.959325 35.666027
## 669        BE25  337 Extrapolation       0 30.986458 25.960716 36.012199
## 670        BE25  349 Extrapolation       0 31.130801 25.942304 36.319298
## 671        BE25  362 Extrapolation       0 31.271529 25.903423 36.639635
## 672        BE25  374 Extrapolation       0 31.388418 25.852028 36.924808
## 673        BE25  387 Extrapolation       0 31.502379 25.781548 37.223210
## 674        BE25  399 Extrapolation       0 31.597035 25.704453 37.489618
## 675        BE25  411 Extrapolation       0 31.682576 25.617213 37.747938
## 676        BE25  424 Extrapolation       0 31.765973 25.512694 38.019252
## 677        BE25  436 Extrapolation       0 31.835243 25.408170 38.262317
## 678        BE25  449 Extrapolation       0 31.902778 25.287414 38.518143
## 679        BE25  461 Extrapolation       0 31.958873 25.169967 38.747780
## 680        BE25  474 Extrapolation       0 32.013563 25.037213 38.989912
## 681        BE26    1   Rarefaction       0  1.000000  1.000000  1.000000
## 682        BE26   17   Rarefaction       0  8.294868  7.645692  8.944043
## 683        BE26   34   Rarefaction       0 12.173887 11.154734 13.193040
## 684        BE26   51   Rarefaction       0 14.750614 13.465486 16.035743
## 685        BE26   68   Rarefaction       0 16.650578 15.140586 18.160571
## 686        BE26   85   Rarefaction       0 18.136338 16.427012 19.845664
## 687        BE26  102   Rarefaction       0 19.343970 17.456458 21.231482
## 688        BE26  118   Rarefaction       0 20.298432 18.260279 22.336585
## 689        BE26  135   Rarefaction       0 21.167953 18.985669 23.350238
## 690        BE26  152   Rarefaction       0 21.922608 19.610310 24.234905
## 691        BE26  169   Rarefaction       0 22.586843 20.156343 25.017342
## 692        BE26  186   Rarefaction       0 23.178150 20.639036 25.717265
## 693        BE26  203   Rarefaction       0 23.709207 21.068959 26.349456
## 694        BE26  219   Rarefaction       0 24.162274 21.431888 26.892661
## 695        BE26  236   Rarefaction       0 24.600383 21.777767 27.422998
## 696        BE26  253   Rarefaction       0 24.998639 22.085607 27.911671
## 697        BE26  270   Rarefaction       0 25.360463 22.356945 28.363981
## 698        BE26  287   Rarefaction       0 25.688233 22.592234 28.784231
## 699        BE26  304   Rarefaction       0 25.983607 22.791130 29.176083
## 700        BE26  305      Observed       0 26.000000 22.801679 29.198321
## 701        BE26  306 Extrapolation       0 26.016286 22.812100 29.220473
## 702        BE26  322 Extrapolation       0 26.262853 22.961726 29.563979
## 703        BE26  338 Extrapolation       0 26.484861 23.080722 29.889000
## 704        BE26  354 Extrapolation       0 26.684756 23.171690 30.197823
## 705        BE26  370 Extrapolation       0 26.864742 23.237366 30.492118
## 706        BE26  386 Extrapolation       0 27.026800 23.280420 30.773181
## 707        BE26  402 Extrapolation       0 27.172718 23.303363 31.042072
## 708        BE26  418 Extrapolation       0 27.304101 23.308515 31.299688
## 709        BE26  434 Extrapolation       0 27.422399 23.297985 31.546812
## 710        BE26  450 Extrapolation       0 27.528914 23.273684 31.784143
## 711        BE26  466 Extrapolation       0 27.624819 23.237330 32.012309
## 712        BE26  482 Extrapolation       0 27.711173 23.190463 32.231883
## 713        BE26  498 Extrapolation       0 27.788925 23.134460 32.443390
## 714        BE26  514 Extrapolation       0 27.858933 23.070549 32.647317
## 715        BE26  530 Extrapolation       0 27.921968 22.999827 32.844110
## 716        BE26  546 Extrapolation       0 27.978725 22.923266 33.034184
## 717        BE26  562 Extrapolation       0 28.029829 22.841733 33.217924
## 718        BE26  578 Extrapolation       0 28.075842 22.755997 33.395687
## 719        BE26  594 Extrapolation       0 28.117273 22.666740 33.567805
## 720        BE26  610 Extrapolation       0 28.154577 22.574567 33.734586
## 721        BE27    1   Rarefaction       0  1.000000  1.000000  1.000000
## 722        BE27   18   Rarefaction       0 10.875748 10.323295 11.428200
## 723        BE27   35   Rarefaction       0 15.893033 14.878000 16.908067
## 724        BE27   52   Rarefaction       0 19.289489 17.869904 20.709074
## 725        BE27   69   Rarefaction       0 21.893524 20.108727 23.678320
## 726        BE27   87   Rarefaction       0 24.154244 22.015232 26.293256
## 727        BE27  104   Rarefaction       0 25.985420 23.533503 28.437337
## 728        BE27  121   Rarefaction       0 27.606656 24.855754 30.357559
## 729        BE27  138   Rarefaction       0 29.066564 26.025583 32.107544
## 730        BE27  156   Rarefaction       0 30.470593 27.128452 33.812735
## 731        BE27  173   Rarefaction       0 31.684712 28.061567 35.307857
## 732        BE27  190   Rarefaction       0 32.805831 28.903709 36.707954
## 733        BE27  207   Rarefaction       0 33.846082 29.666240 38.025925
## 734        BE27  224   Rarefaction       0 34.815559 30.358739 39.272379
## 735        BE27  242   Rarefaction       0 35.774585 31.024809 40.524361
## 736        BE27  259   Rarefaction       0 36.624652 31.597961 41.651343
## 737        BE27  276   Rarefaction       0 37.427632 32.123129 42.732134
## 738        BE27  293   Rarefaction       0 38.189723 32.605648 43.773799
## 739        BE27  311   Rarefaction       0 38.958333 33.075089 44.841578
## 740        BE27  312      Observed       0 39.000000 33.100009 44.899991
## 741        BE27  313 Extrapolation       0 39.041564 33.124812 44.958315
## 742        BE27  329 Extrapolation       0 39.692809 33.505704 45.879915
## 743        BE27  345 Extrapolation       0 40.318816 33.856857 46.780775
## 744        BE27  362 Extrapolation       0 40.957387 34.197998 47.716776
## 745        BE27  378 Extrapolation       0 41.534385 34.489736 48.579034
## 746        BE27  394 Extrapolation       0 42.089022 34.753883 49.424161
## 747        BE27  411 Extrapolation       0 42.654791 35.005352 50.304230
## 748        BE27  427 Extrapolation       0 43.166006 35.215622 51.116391
## 749        BE27  443 Extrapolation       0 43.657410 35.401362 51.913458
## 750        BE27  460 Extrapolation       0 44.158677 35.573044 52.744309
## 751        BE27  476 Extrapolation       0 44.611610 35.711615 53.511605
## 752        BE27  493 Extrapolation       0 45.073633 35.835626 54.311641
## 753        BE27  509 Extrapolation       0 45.491107 35.931604 55.050611
## 754        BE27  525 Extrapolation       0 45.892402 36.008524 55.776281
## 755        BE27  542 Extrapolation       0 46.301752 36.070486 56.533018
## 756        BE27  558 Extrapolation       0 46.671630 36.111208 57.232053
## 757        BE27  574 Extrapolation       0 47.027174 36.135806 57.918542
## 758        BE27  591 Extrapolation       0 47.389854 36.145255 58.634454
## 759        BE27  607 Extrapolation       0 47.717564 36.139321 59.295807
## 760        BE27  624 Extrapolation       0 48.051851 36.118167 59.985534
## 761        BE28    1   Rarefaction       0  1.000000  1.000000  1.000000
## 762        BE28   15   Rarefaction       0  9.699114  9.188305 10.209922
## 763        BE28   30   Rarefaction       0 14.392769 13.451455 15.334083
## 764        BE28   45   Rarefaction       0 17.418904 16.197103 18.640706
## 765        BE28   59   Rarefaction       0 19.488162 18.060282 20.916041
## 766        BE28   74   Rarefaction       0 21.213806 19.589959 22.837652
## 767        BE28   89   Rarefaction       0 22.600171 20.793487 24.406855
## 768        BE28  104   Rarefaction       0 23.748697 21.768380 25.729015
## 769        BE28  118   Rarefaction       0 24.662033 22.526961 26.797106
## 770        BE28  133   Rarefaction       0 25.509951 23.216335 27.803567
## 771        BE28  148   Rarefaction       0 26.250541 23.805190 28.695892
## 772        BE28  162   Rarefaction       0 26.863022 24.281328 29.444715
## 773        BE28  177   Rarefaction       0 27.449458 24.726203 30.172712
## 774        BE28  192   Rarefaction       0 27.975553 25.114106 30.837000
## 775        BE28  207   Rarefaction       0 28.451234 25.453567 31.448900
## 776        BE28  221   Rarefaction       0 28.857092 25.732843 31.981342
## 777        BE28  236   Rarefaction       0 29.257896 25.997351 32.518441
## 778        BE28  251   Rarefaction       0 29.629571 26.230803 33.028340
## 779        BE28  266   Rarefaction       0 29.977528 26.437441 33.517616
## 780        BE28  267      Observed       0 30.000000 26.450354 33.549646
## 781        BE28  268 Extrapolation       0 30.022388 26.463165 33.581610
## 782        BE28  282 Extrapolation       0 30.327153 26.631872 34.022434
## 783        BE28  296 Extrapolation       0 30.616322 26.781289 34.451355
## 784        BE28  310 Extrapolation       0 30.890692 26.912373 34.869011
## 785        BE28  324 Extrapolation       0 31.151020 27.026185 35.275855
## 786        BE28  338 Extrapolation       0 31.398026 27.123842 35.672210
## 787        BE28  352 Extrapolation       0 31.632391 27.206470 36.058311
## 788        BE28  366 Extrapolation       0 31.854761 27.275183 36.434340
## 789        BE28  380 Extrapolation       0 32.065752 27.331054 36.800450
## 790        BE28  394 Extrapolation       0 32.265944 27.375109 37.156779
## 791        BE28  408 Extrapolation       0 32.455891 27.408318 37.503465
## 792        BE28  422 Extrapolation       0 32.636118 27.431589 37.840646
## 793        BE28  436 Extrapolation       0 32.807121 27.445772 38.168470
## 794        BE28  450 Extrapolation       0 32.969372 27.451653 38.487092
## 795        BE28  464 Extrapolation       0 33.123321 27.449963 38.796678
## 796        BE28  478 Extrapolation       0 33.269390 27.441378 39.097402
## 797        BE28  492 Extrapolation       0 33.407984 27.426521 39.389447
## 798        BE28  506 Extrapolation       0 33.539485 27.405965 39.673006
## 799        BE28  520 Extrapolation       0 33.664257 27.380240 39.948273
## 800        BE28  534 Extrapolation       0 33.782643 27.349833 40.215452
## 801        BE29    1   Rarefaction       0  1.000000  1.000000  1.000000
## 802        BE29   14   Rarefaction       0  8.453726  7.966159  8.941294
## 803        BE29   27   Rarefaction       0 12.155709 11.443111 12.868307
## 804        BE29   41   Rarefaction       0 14.623942 13.751564 15.496320
## 805        BE29   54   Rarefaction       0 16.162181 15.136076 17.188286
## 806        BE29   67   Rarefaction       0 17.277251 16.095606 18.458896
## 807        BE29   81   Rarefaction       0 18.184816 16.845026 19.524605
## 808        BE29   94   Rarefaction       0 18.848821 17.376203 20.321440
## 809        BE29  108   Rarefaction       0 19.431024 17.832023 21.030025
## 810        BE29  121   Rarefaction       0 19.880895 18.179541 21.582249
## 811        BE29  134   Rarefaction       0 20.263635 18.473203 22.054067
## 812        BE29  148   Rarefaction       0 20.616017 18.742917 22.489117
## 813        BE29  161   Rarefaction       0 20.897785 18.958705 22.836865
## 814        BE29  175   Rarefaction       0 21.160429 19.160189 23.160670
## 815        BE29  188   Rarefaction       0 21.371946 19.322509 23.421382
## 816        BE29  201   Rarefaction       0 21.556356 19.463436 23.649276
## 817        BE29  215   Rarefaction       0 21.728161 19.592893 23.863429
## 818        BE29  228   Rarefaction       0 21.865443 19.693111 24.037776
## 819        BE29  242   Rarefaction       0 21.991770 19.779696 24.203843
## 820        BE29  243      Observed       0 22.000000 19.785030 24.214970
## 821        BE29  244 Extrapolation       0 22.008130 19.790248 24.226011
## 822        BE29  256 Extrapolation       0 22.098259 19.844242 24.352277
## 823        BE29  269 Extrapolation       0 22.181976 19.886411 24.477541
## 824        BE29  282 Extrapolation       0 22.253303 19.913955 24.592651
## 825        BE29  294 Extrapolation       0 22.309737 19.928307 24.691168
## 826        BE29  307 Extrapolation       0 22.362156 19.933712 24.790600
## 827        BE29  320 Extrapolation       0 22.406817 19.930275 24.883359
## 828        BE29  333 Extrapolation       0 22.444868 19.919525 24.970212
## 829        BE29  345 Extrapolation       0 22.474974 19.904256 25.045692
## 830        BE29  358 Extrapolation       0 22.502938 19.882991 25.122886
## 831        BE29  371 Extrapolation       0 22.526764 19.857763 25.195765
## 832        BE29  384 Extrapolation       0 22.547063 19.829400 25.264726
## 833        BE29  396 Extrapolation       0 22.563124 19.801045 25.325202
## 834        BE29  409 Extrapolation       0 22.578042 19.768529 25.387554
## 835        BE29  422 Extrapolation       0 22.590752 19.734631 25.446873
## 836        BE29  435 Extrapolation       0 22.601581 19.699770 25.503393
## 837        BE29  447 Extrapolation       0 22.610149 19.667040 25.553258
## 838        BE29  460 Extrapolation       0 22.618108 19.631262 25.604953
## 839        BE29  473 Extrapolation       0 22.624888 19.595387 25.654390
## 840        BE29  486 Extrapolation       0 22.630665 19.559615 25.701715
## 841         BE3    1   Rarefaction       0  1.000000  1.000000  1.000000
## 842         BE3   17   Rarefaction       0 12.399461 11.984338 12.814583
## 843         BE3   33   Rarefaction       0 18.989242 18.113358 19.865125
## 844         BE3   49   Rarefaction       0 23.367750 22.126949 24.608550
## 845         BE3   65   Rarefaction       0 26.515115 24.970833 28.059397
## 846         BE3   82   Rarefaction       0 29.013965 27.190954 30.836975
## 847         BE3   98   Rarefaction       0 30.833874 28.779622 32.888125
## 848         BE3  114   Rarefaction       0 32.297183 30.036499 34.557868
## 849         BE3  130   Rarefaction       0 33.506064 31.059915 35.952214
## 850         BE3  147   Rarefaction       0 34.588193 31.964227 37.212160
## 851         BE3  163   Rarefaction       0 35.464880 32.688455 38.241306
## 852         BE3  179   Rarefaction       0 36.236232 33.318958 39.153506
## 853         BE3  195   Rarefaction       0 36.924028 33.875022 39.973033
## 854         BE3  211   Rarefaction       0 37.543707 34.369891 40.717523
## 855         BE3  228   Rarefaction       0 38.139947 34.838972 41.440921
## 856         BE3  244   Rarefaction       0 38.651286 35.234028 42.068545
## 857         BE3  260   Rarefaction       0 39.120701 35.588967 42.652435
## 858         BE3  276   Rarefaction       0 39.553061 35.907325 43.198798
## 859         BE3  293   Rarefaction       0 39.976190 36.208382 43.743999
## 860         BE3  294      Observed       0 40.000000 36.224947 43.775053
## 861         BE3  295 Extrapolation       0 40.023694 36.241387 43.806001
## 862         BE3  310 Extrapolation       0 40.365616 36.473233 44.257999
## 863         BE3  325 Extrapolation       0 40.683480 36.678163 44.688798
## 864         BE3  341 Extrapolation       0 40.997924 36.868411 45.127437
## 865         BE3  356 Extrapolation       0 41.271299 37.021538 45.521061
## 866         BE3  372 Extrapolation       0 41.541733 37.159506 45.923960
## 867         BE3  387 Extrapolation       0 41.776846 37.266533 46.287159
## 868         BE3  402 Extrapolation       0 41.995417 37.353399 46.637435
## 869         BE3  418 Extrapolation       0 42.211636 37.425407 46.997865
## 870         BE3  433 Extrapolation       0 42.399615 37.475002 47.324228
## 871         BE3  449 Extrapolation       0 42.585572 37.510325 47.660818
## 872         BE3  464 Extrapolation       0 42.747241 37.528304 47.966178
## 873         BE3  480 Extrapolation       0 42.907170 37.532726 48.281615
## 874         BE3  495 Extrapolation       0 43.046212 37.524243 48.568182
## 875         BE3  510 Extrapolation       0 43.175471 37.504631 48.846311
## 876         BE3  526 Extrapolation       0 43.303339 37.472572 49.134106
## 877         BE3  541 Extrapolation       0 43.414507 37.433054 49.395959
## 878         BE3  557 Extrapolation       0 43.524478 37.381799 49.667157
## 879         BE3  572 Extrapolation       0 43.620086 37.326054 49.914119
## 880         BE3  588 Extrapolation       0 43.714666 37.259229 50.170103
## 881        BE30    1   Rarefaction       0  1.000000  1.000000  1.000000
## 882        BE30   15   Rarefaction       0  8.070304  7.494485  8.646123
## 883        BE30   30   Rarefaction       0 11.723175 10.734817 12.711533
## 884        BE30   45   Rarefaction       0 14.106032 12.762534 15.449531
## 885        BE30   59   Rarefaction       0 15.756410 14.096546 17.416275
## 886        BE30   74   Rarefaction       0 17.183199 15.197501 19.168896
## 887        BE30   89   Rarefaction       0 18.399835 16.102958 20.696712
## 888        BE30  103   Rarefaction       0 19.415610 16.842239 21.988981
## 889        BE30  118   Rarefaction       0 20.417180 17.562378 23.271981
## 890        BE30  133   Rarefaction       0 21.353511 18.231713 24.475310
## 891        BE30  147   Rarefaction       0 22.181532 18.822351 25.540713
## 892        BE30  162   Rarefaction       0 23.027747 19.425380 26.630114
## 893        BE30  177   Rarefaction       0 23.836757 20.001131 27.672383
## 894        BE30  191   Rarefaction       0 24.561220 20.515421 28.607020
## 895        BE30  206   Rarefaction       0 25.306752 21.042403 29.571101
## 896        BE30  221   Rarefaction       0 26.022146 21.544741 30.499551
## 897        BE30  235   Rarefaction       0 26.663821 21.991390 31.336251
## 898        BE30  250   Rarefaction       0 27.324546 22.446173 32.202920
## 899        BE30  265   Rarefaction       0 27.958647 22.876432 33.040861
## 900        BE30  266      Observed       0 28.000000 22.904247 33.095753
## 901        BE30  267 Extrapolation       0 28.041240 22.931954 33.150526
## 902        BE30  280 Extrapolation       0 28.567203 23.282300 33.852106
## 903        BE30  294 Extrapolation       0 29.113055 23.639242 34.586869
## 904        BE30  308 Extrapolation       0 29.638360 23.975302 35.301419
## 905        BE30  322 Extrapolation       0 30.143891 24.290817 35.996966
## 906        BE30  336 Extrapolation       0 30.630393 24.586219 36.674567
## 907        BE30  350 Extrapolation       0 31.098582 24.862012 37.335151
## 908        BE30  364 Extrapolation       0 31.549146 25.118760 37.979533
## 909        BE30  378 Extrapolation       0 31.982751 25.357071 38.608430
## 910        BE30  392 Extrapolation       0 32.400033 25.577585 39.222481
## 911        BE30  406 Extrapolation       0 32.801608 25.780958 39.822257
## 912        BE30  420 Extrapolation       0 33.188066 25.967861 40.408271
## 913        BE30  434 Extrapolation       0 33.559977 26.138962 40.980993
## 914        BE30  448 Extrapolation       0 33.917889 26.294929 41.540849
## 915        BE30  462 Extrapolation       0 34.262327 26.436418 42.088237
## 916        BE30  476 Extrapolation       0 34.593801 26.564076 42.623525
## 917        BE30  490 Extrapolation       0 34.912796 26.678532 43.147061
## 918        BE30  504 Extrapolation       0 35.219784 26.780396 43.659172
## 919        BE30  518 Extrapolation       0 35.515216 26.870262 44.160170
## 920        BE30  532 Extrapolation       0 35.799528 26.948703 44.650352
## 921         BE4    1   Rarefaction       0  1.000000  1.000000  1.000000
## 922         BE4   23   Rarefaction       0 13.387594 12.894732 13.880456
## 923         BE4   46   Rarefaction       0 18.785704 17.953290 19.618117
## 924         BE4   69   Rarefaction       0 21.872317 20.772712 22.971923
## 925         BE4   92   Rarefaction       0 23.916708 22.570501 25.262914
## 926         BE4  115   Rarefaction       0 25.384883 23.808981 26.960784
## 927         BE4  138   Rarefaction       0 26.498154 24.709327 28.286980
## 928         BE4  161   Rarefaction       0 27.377436 25.391115 29.363757
## 929         BE4  184   Rarefaction       0 28.095194 25.924153 30.266236
## 930         BE4  207   Rarefaction       0 28.697752 26.351475 31.044030
## 931         BE4  230   Rarefaction       0 29.216086 26.700762 31.731409
## 932         BE4  253   Rarefaction       0 29.671586 26.990489 32.352684
## 933         BE4  276   Rarefaction       0 30.079407 27.233415 32.925399
## 934         BE4  299   Rarefaction       0 30.450540 27.438681 33.462398
## 935         BE4  322   Rarefaction       0 30.793173 27.613104 33.973242
## 936         BE4  345   Rarefaction       0 31.113604 27.761994 34.465215
## 937         BE4  368   Rarefaction       0 31.416859 27.889669 34.944048
## 938         BE4  391   Rarefaction       0 31.707107 27.999771 35.414444
## 939         BE4  414   Rarefaction       0 31.987952 28.095443 35.880461
## 940         BE4  415      Observed       0 32.000000 28.099319 35.900681
## 941         BE4  416 Extrapolation       0 32.012037 28.103180 35.920893
## 942         BE4  437 Extrapolation       0 32.262138 28.180824 36.343452
## 943         BE4  459 Extrapolation       0 32.518765 28.255262 36.782268
## 944         BE4  481 Extrapolation       0 32.769997 28.322841 37.217153
## 945         BE4  503 Extrapolation       0 33.015949 28.383773 37.648124
## 946         BE4  524 Extrapolation       0 33.245895 28.435934 38.055856
## 947         BE4  546 Extrapolation       0 33.481842 28.484513 38.479171
## 948         BE4  568 Extrapolation       0 33.712829 28.527113 38.898546
## 949         BE4  590 Extrapolation       0 33.938960 28.563969 39.313952
## 950         BE4  612 Extrapolation       0 34.160338 28.595318 39.725358
## 951         BE4  633 Extrapolation       0 34.367310 28.620323 40.114298
## 952         BE4  655 Extrapolation       0 34.579683 28.641591 40.517776
## 953         BE4  677 Extrapolation       0 34.787592 28.658042 40.917142
## 954         BE4  699 Extrapolation       0 34.991130 28.669902 41.312357
## 955         BE4  721 Extrapolation       0 35.190389 28.677391 41.703386
## 956         BE4  742 Extrapolation       0 35.376682 28.680659 42.072705
## 957         BE4  764 Extrapolation       0 35.567836 28.680214 42.455458
## 958         BE4  786 Extrapolation       0 35.754972 28.676009 42.833935
## 959         BE4  808 Extrapolation       0 35.938174 28.668235 43.208113
## 960         BE4  830 Extrapolation       0 36.117525 28.657077 43.577973
## 961         BE5    1   Rarefaction       0  1.000000  1.000000  1.000000
## 962         BE5   11   Rarefaction       0  4.931670  4.394423  5.468917
## 963         BE5   22   Rarefaction       0  7.721929  6.880713  8.563146
## 964         BE5   33   Rarefaction       0  9.731952  8.680065 10.783838
## 965         BE5   44   Rarefaction       0 11.206000  9.987889 12.424112
## 966         BE5   55   Rarefaction       0 12.308909 10.950747 13.667071
## 967         BE5   66   Rarefaction       0 13.152248 11.671066 14.633431
## 968         BE5   77   Rarefaction       0 13.812089 12.219347 15.404831
## 969         BE5   88   Rarefaction       0 14.340881 12.644652 16.037110
## 970         BE5   99   Rarefaction       0 14.775257 12.981692 16.568823
## 971         BE5  110   Rarefaction       0 15.141114 13.255308 17.026920
## 972         BE5  121   Rarefaction       0 15.456892 13.483299 17.430485
## 973         BE5  132   Rarefaction       0 15.735721 13.678293 17.793149
## 974         BE5  143   Rarefaction       0 15.986848 13.849033 18.124664
## 975         BE5  154   Rarefaction       0 16.216635 14.001310 18.431960
## 976         BE5  165   Rarefaction       0 16.429282 14.138669 18.719895
## 977         BE5  176   Rarefaction       0 16.627387 14.262948 18.991826
## 978         BE5  187   Rarefaction       0 16.812386 14.374708 19.250064
## 979         BE5  198   Rarefaction       0 16.984925 14.473593 19.496256
## 980         BE5  199      Observed       0 17.000000 14.481914 19.518086
## 981         BE5  200 Extrapolation       0 17.014975 14.490092 19.539857
## 982         BE5  210 Extrapolation       0 17.159320 14.564264 19.754376
## 983         BE5  220 Extrapolation       0 17.294296 14.625328 19.963263
## 984         BE5  231 Extrapolation       0 17.432672 14.678612 20.186731
## 985         BE5  241 Extrapolation       0 17.549904 14.715551 20.384257
## 986         BE5  252 Extrapolation       0 17.670089 14.744751 20.595427
## 987         BE5  262 Extrapolation       0 17.771910 14.761912 20.781908
## 988         BE5  272 Extrapolation       0 17.867121 14.771029 20.963214
## 989         BE5  283 Extrapolation       0 17.964731 14.772714 21.156748
## 990         BE5  293 Extrapolation       0 18.047426 14.767452 21.327400
## 991         BE5  304 Extrapolation       0 18.132205 14.755007 21.509402
## 992         BE5  314 Extrapolation       0 18.204029 14.738295 21.669763
## 993         BE5  325 Extrapolation       0 18.277662 14.714642 21.840682
## 994         BE5  335 Extrapolation       0 18.340044 14.688886 21.991203
## 995         BE5  345 Extrapolation       0 18.398377 14.659539 22.137216
## 996         BE5  356 Extrapolation       0 18.458180 14.623590 22.292769
## 997         BE5  366 Extrapolation       0 18.508844 14.587972 22.429716
## 998         BE5  377 Extrapolation       0 18.560785 14.545968 22.575602
## 999         BE5  387 Extrapolation       0 18.604789 14.505536 22.704042
## 1000        BE5  398 Extrapolation       0 18.649902 14.458923 22.840881
## 1001        BE6    1   Rarefaction       0  1.000000  1.000000  1.000000
## 1002        BE6   12   Rarefaction       0  6.975703  6.352605  7.598801
## 1003        BE6   23   Rarefaction       0 10.431183  9.363564 11.498803
## 1004        BE6   35   Rarefaction       0 13.070098 11.598670 14.541527
## 1005        BE6   46   Rarefaction       0 14.898257 13.110637 16.685878
## 1006        BE6   58   Rarefaction       0 16.496117 14.405814 18.586419
## 1007        BE6   69   Rarefaction       0 17.717360 15.376857 20.057863
## 1008        BE6   81   Rarefaction       0 18.863366 16.270592 21.456139
## 1009        BE6   92   Rarefaction       0 19.787112 16.976631 22.597594
## 1010        BE6  104   Rarefaction       0 20.688741 17.651544 23.725937
## 1011        BE6  115   Rarefaction       0 21.437318 18.199898 24.674738
## 1012        BE6  126   Rarefaction       0 22.124425 18.692652 25.556197
## 1013        BE6  138   Rarefaction       0 22.814778 19.176703 26.452854
## 1014        BE6  149   Rarefaction       0 23.401033 19.578549 27.223518
## 1015        BE6  161   Rarefaction       0 23.996785 19.977905 28.015664
## 1016        BE6  172   Rarefaction       0 24.508027 20.313300 28.702753
## 1017        BE6  184   Rarefaction       0 25.032957 20.650774 29.415140
## 1018        BE6  195   Rarefaction       0 25.488356 20.938156 30.038555
## 1019        BE6  207   Rarefaction       0 25.961538 21.231915 30.691162
## 1020        BE6  208      Observed       0 26.000000 21.255595 30.744405
## 1021        BE6  209 Extrapolation       0 26.038323 21.279159 30.797486
## 1022        BE6  219 Extrapolation       0 26.414022 21.508498 31.319546
## 1023        BE6  230 Extrapolation       0 26.811897 21.747604 31.876190
## 1024        BE6  241 Extrapolation       0 27.194253 21.973099 32.415408
## 1025        BE6  252 Extrapolation       0 27.561697 22.185262 32.938132
## 1026        BE6  263 Extrapolation       0 27.914810 22.384451 33.445168
## 1027        BE6  274 Extrapolation       0 28.254150 22.571086 33.937214
## 1028        BE6  285 Extrapolation       0 28.580256 22.745633 34.414879
## 1029        BE6  296 Extrapolation       0 28.893643 22.908585 34.878701
## 1030        BE6  307 Extrapolation       0 29.194807 23.060455 35.329159
## 1031        BE6  317 Extrapolation       0 29.458387 23.189338 35.727437
## 1032        BE6  328 Extrapolation       0 29.737525 23.321488 36.153562
## 1033        BE6  339 Extrapolation       0 30.005776 23.444053 36.567499
## 1034        BE6  350 Extrapolation       0 30.263565 23.557531 36.969599
## 1035        BE6  361 Extrapolation       0 30.511299 23.662402 37.360196
## 1036        BE6  372 Extrapolation       0 30.749371 23.759132 37.739610
## 1037        BE6  383 Extrapolation       0 30.978158 23.848168 38.108148
## 1038        BE6  394 Extrapolation       0 31.198021 23.929935 38.466108
## 1039        BE6  405 Extrapolation       0 31.409310 24.004841 38.813779
## 1040        BE6  416 Extrapolation       0 31.612358 24.073273 39.151443
## 1041        BE7    1   Rarefaction       0  1.000000  1.000000  1.000000
## 1042        BE7   30   Rarefaction       0  9.448944  8.796212 10.101677
## 1043        BE7   60   Rarefaction       0 13.036941 11.958472 14.115409
## 1044        BE7   90   Rarefaction       0 15.324703 13.895382 16.754025
## 1045        BE7  120   Rarefaction       0 17.052653 15.313918 18.791389
## 1046        BE7  150   Rarefaction       0 18.462129 16.435436 20.488822
## 1047        BE7  180   Rarefaction       0 19.662846 17.360638 21.965054
## 1048        BE7  210   Rarefaction       0 20.716161 18.146714 23.285609
## 1049        BE7  240   Rarefaction       0 21.660099 18.829889 24.490309
## 1050        BE7  270   Rarefaction       0 22.519277 19.434391 25.604163
## 1051        BE7  299   Rarefaction       0 23.284602 19.959729 26.609475
## 1052        BE7  329   Rarefaction       0 24.019588 20.453684 27.585492
## 1053        BE7  359   Rarefaction       0 24.704430 20.905758 28.503101
## 1054        BE7  389   Rarefaction       0 25.344558 21.322184 29.366932
## 1055        BE7  419   Rarefaction       0 25.943950 21.707514 30.180387
## 1056        BE7  449   Rarefaction       0 26.505614 22.065065 30.946162
## 1057        BE7  479   Rarefaction       0 27.031879 22.397222 31.666536
## 1058        BE7  509   Rarefaction       0 27.524583 22.705641 32.343525
## 1059        BE7  539   Rarefaction       0 27.985185 22.991400 32.978971
## 1060        BE7  540      Observed       0 28.000000 23.000543 32.999457
## 1061        BE7  541 Extrapolation       0 28.014781 23.009662 33.019899
## 1062        BE7  569 Extrapolation       0 28.415036 23.255173 33.574899
## 1063        BE7  597 Extrapolation       0 28.790155 23.482107 34.098203
## 1064        BE7  626 Extrapolation       0 29.153854 23.698159 34.609550
## 1065        BE7  654 Extrapolation       0 29.482575 23.889024 35.076125
## 1066        BE7  682 Extrapolation       0 29.790651 24.063068 35.518233
## 1067        BE7  711 Extrapolation       0 30.089348 24.226258 35.952439
## 1068        BE7  739 Extrapolation       0 30.359318 24.367997 36.350640
## 1069        BE7  767 Extrapolation       0 30.612334 24.494855 36.729813
## 1070        BE7  796 Extrapolation       0 30.857647 24.611264 37.104031
## 1071        BE7  824 Extrapolation       0 31.079367 24.709885 37.448849
## 1072        BE7  853 Extrapolation       0 31.294337 24.798485 37.790190
## 1073        BE7  881 Extrapolation       0 31.488633 24.871633 38.105632
## 1074        BE7  909 Extrapolation       0 31.670726 24.933263 38.408188
## 1075        BE7  938 Extrapolation       0 31.847276 24.985633 38.708918
## 1076        BE7  966 Extrapolation       0 32.006846 25.025773 38.987919
## 1077        BE7  994 Extrapolation       0 32.156394 25.056281 39.256508
## 1078        BE7 1023 Extrapolation       0 32.301391 25.078349 39.524432
## 1079        BE7 1051 Extrapolation       0 32.432442 25.091033 39.773850
## 1080        BE7 1080 Extrapolation       0 32.559503 25.095822 40.023185
## 1081        BE8    1   Rarefaction       0  1.000000  1.000000  1.000000
## 1082        BE8   13   Rarefaction       0  7.833924  7.296306  8.371542
## 1083        BE8   25   Rarefaction       0 11.798526 10.918266 12.678786
## 1084        BE8   37   Rarefaction       0 14.514179 13.396281 15.632076
## 1085        BE8   49   Rarefaction       0 16.470219 15.178404 17.762035
## 1086        BE8   61   Rarefaction       0 17.932717 16.505421 19.360013
## 1087        BE8   73   Rarefaction       0 19.059251 17.521501 20.597001
## 1088        BE8   85   Rarefaction       0 19.948935 18.318990 21.578880
## 1089        BE8   97   Rarefaction       0 20.667021 18.959262 22.374780
## 1090        BE8  109   Rarefaction       0 21.257979 19.483840 23.032118
## 1091        BE8  121   Rarefaction       0 21.752904 19.920999 23.584808
## 1092        BE8  133   Rarefaction       0 22.173931 20.290005 24.057858
## 1093        BE8  145   Rarefaction       0 22.537003 20.603949 24.470058
## 1094        BE8  157   Rarefaction       0 22.853691 20.871734 24.835647
## 1095        BE8  169   Rarefaction       0 23.132453 21.099472 25.165435
## 1096        BE8  181   Rarefaction       0 23.379539 21.291479 25.467599
## 1097        BE8  193   Rarefaction       0 23.599636 21.450969 25.748302
## 1098        BE8  205   Rarefaction       0 23.796339 21.580491 26.012187
## 1099        BE8  218   Rarefaction       0 23.986301 21.689447 26.283156
## 1100        BE8  219      Observed       0 24.000000 21.696542 26.303458
## 1101        BE8  220 Extrapolation       0 24.013574 21.703461 26.323687
## 1102        BE8  231 Extrapolation       0 24.154987 21.768198 26.541775
## 1103        BE8  242 Extrapolation       0 24.282883 21.813073 26.752694
## 1104        BE8  254 Extrapolation       0 24.408507 21.841284 26.975730
## 1105        BE8  265 Extrapolation       0 24.512173 21.850023 27.174323
## 1106        BE8  277 Extrapolation       0 24.613997 21.843018 27.384977
## 1107        BE8  288 Extrapolation       0 24.698023 21.823263 27.572783
## 1108        BE8  300 Extrapolation       0 24.780556 21.789080 27.772033
## 1109        BE8  311 Extrapolation       0 24.848663 21.747713 27.949613
## 1110        BE8  323 Extrapolation       0 24.915560 21.693207 28.137913
## 1111        BE8  334 Extrapolation       0 24.970764 21.635882 28.305646
## 1112        BE8  346 Extrapolation       0 25.024987 21.566546 28.483428
## 1113        BE8  357 Extrapolation       0 25.069732 21.497715 28.641749
## 1114        BE8  369 Extrapolation       0 25.113682 21.417824 28.809541
## 1115        BE8  380 Extrapolation       0 25.149951 21.340924 28.958977
## 1116        BE8  392 Extrapolation       0 25.185574 21.253759 29.117389
## 1117        BE8  403 Extrapolation       0 25.214971 21.171420 29.258522
## 1118        BE8  415 Extrapolation       0 25.243846 21.079488 29.408203
## 1119        BE8  426 Extrapolation       0 25.267673 20.993715 29.541632
## 1120        BE8  438 Extrapolation       0 25.291078 20.898925 29.683230
## 1121        BE9    1   Rarefaction       0  1.000000  1.000000  1.000000
## 1122        BE9   18   Rarefaction       0 11.347815 10.919819 11.775812
## 1123        BE9   35   Rarefaction       0 16.420869 15.510122 17.331617
## 1124        BE9   52   Rarefaction       0 19.580958 18.247242 20.914673
## 1125        BE9   69   Rarefaction       0 21.812284 20.130189 23.494378
## 1126        BE9   86   Rarefaction       0 23.518079 21.543683 25.492475
## 1127        BE9  103   Rarefaction       0 24.890987 22.662264 27.119710
## 1128        BE9  120   Rarefaction       0 26.034800 23.577673 28.491928
## 1129        BE9  137   Rarefaction       0 27.011773 24.345026 29.678520
## 1130        BE9  155   Rarefaction       0 27.909687 25.036869 30.782505
## 1131        BE9  172   Rarefaction       0 28.658911 25.603749 31.714073
## 1132        BE9  189   Rarefaction       0 29.333755 26.106225 32.561285
## 1133        BE9  206   Rarefaction       0 29.950244 26.558618 33.341870
## 1134        BE9  223   Rarefaction       0 30.520680 26.971520 34.069840
## 1135        BE9  240   Rarefaction       0 31.054533 27.352611 34.756455
## 1136        BE9  257   Rarefaction       0 31.559108 27.707329 35.410888
## 1137        BE9  274   Rarefaction       0 32.040079 28.039436 36.040722
## 1138        BE9  291   Rarefaction       0 32.501933 28.351513 36.652353
## 1139        BE9  309   Rarefaction       0 32.974194 28.662125 37.286262
## 1140        BE9  310      Observed       0 33.000000 28.678817 37.321183
## 1141        BE9  311 Extrapolation       0 33.025765 28.695450 37.356080
## 1142        BE9  327 Extrapolation       0 33.432386 28.953554 37.911217
## 1143        BE9  343 Extrapolation       0 33.828623 29.196518 38.460727
## 1144        BE9  359 Extrapolation       0 34.214741 29.424453 39.005029
## 1145        BE9  376 Extrapolation       0 34.614193 29.650497 39.577889
## 1146        BE9  392 Extrapolation       0 34.980249 29.848517 40.111982
## 1147        BE9  408 Extrapolation       0 35.336958 30.032806 40.641111
## 1148        BE9  424 Extrapolation       0 35.684557 30.203964 41.165150
## 1149        BE9  441 Extrapolation       0 36.044160 30.372148 41.716173
## 1150        BE9  457 Extrapolation       0 36.373700 30.518254 42.229145
## 1151        BE9  473 Extrapolation       0 36.694823 30.653205 42.736442
## 1152        BE9  489 Extrapolation       0 37.007746 30.777630 43.237862
## 1153        BE9  506 Extrapolation       0 37.331476 30.898977 43.763975
## 1154        BE9  522 Extrapolation       0 37.628140 31.003573 44.252708
## 1155        BE9  538 Extrapolation       0 37.917229 31.099404 44.735054
## 1156        BE9  554 Extrapolation       0 38.198935 31.186978 45.210892
## 1157        BE9  571 Extrapolation       0 38.490369 31.271512 45.709227
## 1158        BE9  587 Extrapolation       0 38.757439 31.343529 46.171349
## 1159        BE9  603 Extrapolation       0 39.017688 31.408652 46.626725
## 1160        BE9  620 Extrapolation       0 39.286925 31.470721 47.103129
##              SC     SC.LCL     SC.UCL
## 1    0.39408233 0.32298895 0.46517571
## 2    0.81624211 0.78878903 0.84369519
## 3    0.89466850 0.87535986 0.91397714
## 4    0.92783458 0.91197149 0.94369767
## 5    0.94612194 0.93280378 0.95944011
## 6    0.95625438 0.94473123 0.96777753
## 7    0.96206318 0.95166350 0.97246286
## 8    0.96623309 0.95661071 0.97585546
## 9    0.96906748 0.95991197 0.97822298
## 10   0.97146996 0.96264107 0.98029885
## 11   0.97349012 0.96486509 0.98211514
## 12   0.97516349 0.96664153 0.98368545
## 13   0.97680512 0.96831181 0.98529843
## 14   0.97823491 0.96969921 0.98677062
## 15   0.97968357 0.97103604 0.98833111
## 16   0.98106612 0.97224604 0.98988621
## 17   0.98231255 0.97328298 0.99134211
## 18   0.98361695 0.97431588 0.99291801
## 19   0.98490566 0.97528668 0.99452464
## 20   0.98499094 0.97536456 0.99461732
## 21   0.98507574 0.97544199 0.99470948
## 22   0.98613547 0.97641078 0.99586016
## 23   0.98719272 0.97738441 0.99700104
## 24   0.98816936 0.97829577 0.99804294
## 25   0.98907151 0.97915216 0.99899087
## 26   0.98990488 0.97995907 0.99985069
## 27   0.99067469 0.98072083 1.00000000
## 28   0.99138580 0.98144106 1.00000000
## 29   0.99204269 0.98212281 1.00000000
## 30   0.99264948 0.98276876 1.00000000
## 31   0.99317142 0.98333863 1.00000000
## 32   0.99369214 0.98392210 1.00000000
## 33   0.99417315 0.98447614 1.00000000
## 34   0.99461749 0.98500258 1.00000000
## 35   0.99502793 0.98550307 1.00000000
## 36   0.99540708 0.98597918 1.00000000
## 37   0.99575732 0.98643234 1.00000000
## 38   0.99608085 0.98686390 1.00000000
## 39   0.99637971 0.98727512 1.00000000
## 40   0.99665578 0.98766719 1.00000000
## 41   0.11437151 0.09231304 0.13642997
## 42   0.71404958 0.68994617 0.73815299
## 43   0.83540700 0.81719532 0.85361868
## 44   0.89049748 0.87466494 0.90633002
## 45   0.91979580 0.90566026 0.93393135
## 46   0.93844882 0.92576713 0.95113052
## 47   0.95154502 0.94004319 0.96304686
## 48   0.96032455 0.94963597 0.97101313
## 49   0.96693307 0.95682825 0.97703788
## 50   0.97160537 0.96187243 0.98133831
## 51   0.97513590 0.96564035 0.98463145
## 52   0.97793683 0.96858175 0.98729190
## 53   0.97999182 0.97069347 0.98929016
## 54   0.98164233 0.97234219 0.99094248
## 55   0.98286542 0.97352011 0.99221072
## 56   0.98382524 0.97440309 0.99324739
## 57   0.98462189 0.97509292 0.99415086
## 58   0.98524932 0.97559523 0.99490342
## 59   0.98581560 0.97600613 0.99562507
## 60   0.98583798 0.97602204 0.99565391
## 61   0.98586031 0.97603793 0.99568270
## 62   0.98634292 0.97638455 0.99630130
## 63   0.98680906 0.97672790 0.99689023
## 64   0.98725929 0.97707029 0.99744829
## 65   0.98769415 0.97741282 0.99797548
## 66   0.98813292 0.97777145 0.99849438
## 67   0.98853796 0.97811490 0.99896102
## 68   0.98892918 0.97845842 0.99939993
## 69   0.98930704 0.97880156 0.99981253
## 70   0.98967201 0.97914379 1.00000000
## 71   0.99004026 0.97950006 1.00000000
## 72   0.99038020 0.97983886 1.00000000
## 73   0.99070854 0.98017527 1.00000000
## 74   0.99102567 0.98050885 1.00000000
## 75   0.99133198 0.98083923 1.00000000
## 76   0.99164104 0.98118084 1.00000000
## 77   0.99192634 0.98150366 1.00000000
## 78   0.99220191 0.98182239 1.00000000
## 79   0.99246807 0.98213680 1.00000000
## 80   0.99273662 0.98246068 1.00000000
## 81   0.11947921 0.09476324 0.14419517
## 82   0.63117814 0.59637390 0.66598237
## 83   0.77676632 0.74995171 0.80358094
## 84   0.83948694 0.81972207 0.85925182
## 85   0.87978514 0.86477056 0.89479972
## 86   0.90448127 0.89106139 0.91790114
## 87   0.92414755 0.91090789 0.93738722
## 88   0.93794571 0.92449750 0.95139393
## 89   0.94978668 0.93621574 0.96335762
## 90   0.95842030 0.94494754 0.97189306
## 91   0.96594844 0.95278917 0.97910772
## 92   0.97145821 0.95870925 0.98420717
## 93   0.97625071 0.96400011 0.98850132
## 94   0.97974725 0.96793270 0.99156180
## 95   0.98279641 0.97137449 0.99421833
## 96   0.98505791 0.97388169 0.99623414
## 97   0.98711297 0.97605441 0.99817152
## 98   0.98875698 0.97765754 0.99985643
## 99   0.99043062 0.97911997 1.00000000
## 100  0.99056668 0.97928096 1.00000000
## 101  0.99070080 0.97944042 1.00000000
## 102  0.99194150 0.98096631 1.00000000
## 103  0.99311595 0.98251760 1.00000000
## 104  0.99411924 0.98393368 1.00000000
## 105  0.99497630 0.98521161 1.00000000
## 106  0.99570846 0.98635609 1.00000000
## 107  0.99633391 0.98737709 1.00000000
## 108  0.99686821 0.98828681 1.00000000
## 109  0.99732464 0.98909778 1.00000000
## 110  0.99771455 0.98982193 1.00000000
## 111  0.99804763 0.99047011 1.00000000
## 112  0.99833217 0.99105197 1.00000000
## 113  0.99857524 0.99157598 1.00000000
## 114  0.99878289 0.99204951 1.00000000
## 115  0.99896027 0.99247894 1.00000000
## 116  0.99911180 0.99286979 1.00000000
## 117  0.99924125 0.99322682 1.00000000
## 118  0.99935183 0.99355412 1.00000000
## 119  0.99944629 0.99385524 1.00000000
## 120  0.99952699 0.99413321 1.00000000
## 121  0.05300481 0.04591596 0.06009366
## 122  0.58115978 0.54457979 0.61773978
## 123  0.75773938 0.72602998 0.78944878
## 124  0.83515805 0.80836618 0.86194992
## 125  0.87190831 0.84933825 0.89447838
## 126  0.89330282 0.87414860 0.91245704
## 127  0.90762563 0.89106554 0.92418571
## 128  0.91701137 0.90204865 0.93197409
## 129  0.92445702 0.91047150 0.93844254
## 130  0.93012965 0.91659262 0.94366667
## 131  0.93495832 0.92156334 0.94835330
## 132  0.93943469 0.92597906 0.95289032
## 133  0.94324420 0.92960523 0.95688316
## 134  0.94690765 0.93298866 0.96082663
## 135  0.95009555 0.93585345 0.96433766
## 136  0.95304544 0.93843687 0.96765402
## 137  0.95593049 0.94089559 0.97096540
## 138  0.95846879 0.94299607 0.97394150
## 139  0.96096096 0.94499148 0.97693045
## 140  0.96108718 0.94509075 0.97708362
## 141  0.96121300 0.94518970 0.97723629
## 142  0.96329068 0.94682912 0.97975224
## 143  0.96525706 0.94840170 0.98211243
## 144  0.96722443 0.95000956 0.98443930
## 145  0.96898010 0.95148274 0.98647745
## 146  0.97073664 0.95299985 0.98847344
## 147  0.97230417 0.95439497 0.99021338
## 148  0.97387249 0.95583369 0.99191128
## 149  0.97527204 0.95715679 0.99338730
## 150  0.97667230 0.95852016 0.99482444
## 151  0.97792188 0.95977240 0.99607136
## 152  0.97917208 0.96106089 0.99728328
## 153  0.98028776 0.96224252 0.99833300
## 154  0.98140399 0.96345648 0.99935150
## 155  0.98240011 0.96456812 1.00000000
## 156  0.98339673 0.96570859 1.00000000
## 157  0.98428611 0.96675158 1.00000000
## 158  0.98517593 0.96782036 1.00000000
## 159  0.98597000 0.96879676 1.00000000
## 160  0.98676447 0.96979635 1.00000000
## 161  0.05725589 0.04733027 0.06718152
## 162  0.57652839 0.53877340 0.61428338
## 163  0.74386529 0.71476593 0.77296466
## 164  0.81844951 0.79495273 0.84194630
## 165  0.85726199 0.83668799 0.87783599
## 166  0.88286083 0.86409922 0.90162244
## 167  0.90032027 0.88269817 0.91794237
## 168  0.91248100 0.89560085 0.92936114
## 169  0.92225218 0.90596306 0.93854131
## 170  0.92985846 0.91405932 0.94565759
## 171  0.93563297 0.92024458 0.95102136
## 172  0.94058412 0.92558093 0.95558731
## 173  0.94467832 0.93000721 0.95934943
## 174  0.94798360 0.93356879 0.96239842
## 175  0.95101639 0.93679727 0.96523551
## 176  0.95372344 0.93961255 0.96783433
## 177  0.95608651 0.94198766 0.97018536
## 178  0.95842760 0.94423626 0.97261894
## 179  0.96067416 0.94627279 0.97507553
## 180  0.96078462 0.94636971 0.97519954
## 181  0.96089478 0.94646622 0.97532333
## 182  0.96282550 0.94814206 0.97750894
## 183  0.96476016 0.94980816 0.97971216
## 184  0.96659414 0.95139475 0.98179353
## 185  0.96824347 0.95284005 0.98364690
## 186  0.96989617 0.95431496 0.98547738
## 187  0.97146286 0.95574433 0.98718138
## 188  0.97287180 0.95706003 0.98868358
## 189  0.97428363 0.95841042 0.99015685
## 190  0.97562198 0.95972253 0.99152143
## 191  0.97682558 0.96093084 0.99272033
## 192  0.97803164 0.96216985 0.99389344
## 193  0.97917494 0.96337160 0.99497828
## 194  0.98020312 0.96447580 0.99593044
## 195  0.98123341 0.96560527 0.99686155
## 196  0.98221007 0.96669787 0.99772228
## 197  0.98308841 0.96769922 0.99847759
## 198  0.98396853 0.96872097 0.99921610
## 199  0.98480285 0.96970699 0.99989872
## 200  0.98559375 0.97065786 1.00000000
## 201  0.03682835 0.02907775 0.04457896
## 202  0.27403259 0.23471279 0.31335239
## 203  0.45201076 0.40646541 0.49755610
## 204  0.55989982 0.51593389 0.60386576
## 205  0.64541219 0.60496881 0.68585556
## 206  0.70632991 0.66944872 0.74321110
## 207  0.74681793 0.71260010 0.78103576
## 208  0.78188501 0.74988736 0.81388266
## 209  0.80642380 0.77571298 0.83713461
## 210  0.82864398 0.79873237 0.85855560
## 211  0.84663367 0.81700708 0.87626026
## 212  0.85993318 0.83025694 0.88960941
## 213  0.87255114 0.84258079 0.90252148
## 214  0.88211067 0.85171990 0.91250144
## 215  0.89137544 0.86036428 0.92238660
## 216  0.89936198 0.86758753 0.93113643
## 217  0.90558183 0.87301190 0.93815176
## 218  0.91175740 0.87816051 0.94535428
## 219  0.91719745 0.88243154 0.95196336
## 220  0.91776515 0.88286551 0.95266478
## 221  0.91832895 0.88329893 0.95335898
## 222  0.92270243 0.88674970 0.95865517
## 223  0.92684171 0.89017569 0.96350773
## 224  0.93075933 0.89357526 0.96794341
## 225  0.93446717 0.89694115 0.97199318
## 226  0.93840168 0.90067597 0.97612739
## 227  0.94170027 0.90393934 0.97946120
## 228  0.94482222 0.90714063 0.98250380
## 229  0.94777698 0.91027251 0.98528145
## 230  0.95057352 0.91332897 0.98781807
## 231  0.95354103 0.91667153 0.99041052
## 232  0.95602890 0.91955360 0.99250421
## 233  0.95838355 0.92234937 0.99441774
## 234  0.96061211 0.92505746 0.99616677
## 235  0.96272133 0.92767726 0.99776540
## 236  0.96495950 0.93051912 0.99939988
## 237  0.96683592 0.93295220 1.00000000
## 238  0.96861185 0.93529890 1.00000000
## 239  0.97029268 0.93756067 1.00000000
## 240  0.97207628 0.94000583 1.00000000
## 241  0.13215078 0.10986343 0.15443814
## 242  0.72643572 0.69856614 0.75430530
## 243  0.83848639 0.82019769 0.85677509
## 244  0.89160836 0.87654890 0.90666783
## 245  0.92214179 0.90884235 0.93544124
## 246  0.94216735 0.93006783 0.95426686
## 247  0.95478907 0.94353978 0.96603836
## 248  0.96365660 0.95310643 0.97420677
## 249  0.97009658 0.96014592 0.98004724
## 250  0.97511102 0.96570877 0.98451326
## 251  0.97870991 0.96976069 0.98765913
## 252  0.98150301 0.97294392 0.99006209
## 253  0.98371261 0.97548085 0.99194438
## 254  0.98549713 0.97752948 0.99346478
## 255  0.98704331 0.97928609 0.99480054
## 256  0.98828703 0.98066709 0.99590697
## 257  0.98938008 0.98183750 0.99692266
## 258  0.99037796 0.98285136 0.99790457
## 259  0.99137931 0.98379657 0.99896205
## 260  0.99142871 0.98384116 0.99901627
## 261  0.99147783 0.98388562 0.99907005
## 262  0.99231537 0.98466546 0.99996528
## 263  0.99307060 0.98540718 1.00000000
## 264  0.99375160 0.98610896 1.00000000
## 265  0.99439797 0.98680483 1.00000000
## 266  0.99494852 0.98742165 1.00000000
## 267  0.99544497 0.98799846 1.00000000
## 268  0.99589263 0.98853722 1.00000000
## 269  0.99631751 0.98906717 1.00000000
## 270  0.99667942 0.98953502 1.00000000
## 271  0.99700576 0.98997200 1.00000000
## 272  0.99730003 0.99038039 1.00000000
## 273  0.99757932 0.99078280 1.00000000
## 274  0.99781722 0.99113898 1.00000000
## 275  0.99803174 0.99147266 1.00000000
## 276  0.99822518 0.99178556 1.00000000
## 277  0.99840877 0.99209504 1.00000000
## 278  0.99856516 0.99237006 1.00000000
## 279  0.99870617 0.99262875 1.00000000
## 280  0.99884001 0.99288548 1.00000000
## 281  0.05198749 0.04085676 0.06311821
## 282  0.43754019 0.38711540 0.48796498
## 283  0.63897359 0.59836485 0.67958234
## 284  0.73718182 0.70783498 0.76652866
## 285  0.80193859 0.78089420 0.82298298
## 286  0.84173097 0.82475342 0.85870851
## 287  0.87343395 0.85832070 0.88854720
## 288  0.89585196 0.88132391 0.91038002
## 289  0.91544932 0.90117997 0.92971867
## 290  0.93016543 0.91609764 0.94423322
## 291  0.94351930 0.92973946 0.95729915
## 292  0.95379194 0.94034660 0.96723729
## 293  0.96326122 0.95022569 0.97629675
## 294  0.97062393 0.95795491 0.98329296
## 295  0.97745852 0.96510454 0.98981250
## 296  0.98279492 0.97057532 0.99501452
## 297  0.98775628 0.97543027 1.00000000
## 298  0.99162708 0.97891281 1.00000000
## 299  0.99521531 0.98172631 1.00000000
## 300  0.99547629 0.98197253 1.00000000
## 301  0.99572304 0.98220713 1.00000000
## 302  0.99755915 0.98404904 1.00000000
## 303  0.99868299 0.98536700 1.00000000
## 304  0.99928938 0.98627649 1.00000000
## 305  0.99961657 0.98696718 1.00000000
## 306  0.99979311 0.98754019 1.00000000
## 307  0.99988837 0.98804753 1.00000000
## 308  0.99993977 0.98851504 1.00000000
## 309  0.99996750 0.98895510 1.00000000
## 310  0.99998246 0.98937346 1.00000000
## 311  0.99999054 0.98977274 1.00000000
## 312  0.99999489 0.99015417 1.00000000
## 313  0.99999725 0.99051845 1.00000000
## 314  0.99999851 0.99086613 1.00000000
## 315  0.99999920 0.99119776 1.00000000
## 316  0.99999957 0.99151395 1.00000000
## 317  0.99999977 0.99181534 1.00000000
## 318  0.99999987 0.99210262 1.00000000
## 319  0.99999993 0.99237651 1.00000000
## 320  0.99999996 0.99263770 1.00000000
## 321  0.09209698 0.07356820 0.11062575
## 322  0.62912716 0.59470777 0.66354655
## 323  0.75093741 0.72170564 0.78016919
## 324  0.81475665 0.78937231 0.84014099
## 325  0.85078840 0.82789630 0.87368049
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## 1088 0.93433024 0.91873648 0.94992400
## 1089 0.94640010 0.93187657 0.96092363
## 1090 0.95544358 0.94161815 0.96926901
## 1091 0.96234671 0.94886106 0.97583236
## 1092 0.96771483 0.95428264 0.98114702
## 1093 0.97197212 0.95840074 0.98554350
## 1094 0.97541997 0.96160144 0.98923851
## 1095 0.97827310 0.96416063 0.99238556
## 1096 0.98068353 0.96626594 0.99510112
## 1097 0.98275793 0.96803722 0.99747865
## 1098 0.98457089 0.96954391 0.99959788
## 1099 0.98630137 0.97091557 1.00000000
## 1100 0.98642590 0.97102106 1.00000000
## 1101 0.98654930 0.97112636 1.00000000
## 1102 0.98783487 0.97227297 1.00000000
## 1103 0.98899757 0.97339721 1.00000000
## 1104 0.99013960 0.97458870 1.00000000
## 1105 0.99108202 0.97563966 1.00000000
## 1106 0.99200769 0.97673395 1.00000000
## 1107 0.99277157 0.97768567 1.00000000
## 1108 0.99352187 0.97866649 1.00000000
## 1109 0.99414102 0.97951334 1.00000000
## 1110 0.99474918 0.98038184 1.00000000
## 1111 0.99525103 0.98112937 1.00000000
## 1112 0.99574397 0.98189466 1.00000000
## 1113 0.99615074 0.98255287 1.00000000
## 1114 0.99655029 0.98322676 1.00000000
## 1115 0.99688000 0.98380676 1.00000000
## 1116 0.99720385 0.98440128 1.00000000
## 1117 0.99747110 0.98491376 1.00000000
## 1118 0.99773359 0.98544007 1.00000000
## 1119 0.99795021 0.98589473 1.00000000
## 1120 0.99816297 0.98636276 1.00000000
## 1121 0.06994467 0.06039422 0.07949512
## 1122 0.61280361 0.58080716 0.64480005
## 1123 0.77559181 0.74552529 0.80565833
## 1124 0.84858102 0.82329745 0.87386460
## 1125 0.88763736 0.86602442 0.90925031
## 1126 0.91132824 0.89211370 0.93054279
## 1127 0.92712485 0.90950487 0.94474482
## 1128 0.93838891 0.92191772 0.95486009
## 1129 0.94677884 0.93119647 0.96236120
## 1130 0.95352031 0.93868720 0.96835342
## 1131 0.95842169 0.94414790 0.97269548
## 1132 0.96225639 0.94840554 0.97610725
## 1133 0.96527460 0.95170887 0.97884033
## 1134 0.96766469 0.95424447 0.98108490
## 1135 0.96957087 0.95615851 0.98298324
## 1136 0.97110286 0.95756732 0.98463841
## 1137 0.97234201 0.95856222 0.98612181
## 1138 0.97334585 0.95921158 0.98748013
## 1139 0.97419355 0.95957383 0.98881327
## 1140 0.97423524 0.95958754 0.98888294
## 1141 0.97427686 0.95960141 0.98895231
## 1142 0.97493376 0.95984807 0.99001945
## 1143 0.97557389 0.96014353 0.99100425
## 1144 0.97619766 0.96048679 0.99190854
## 1145 0.97684298 0.96089908 0.99278688
## 1146 0.97743435 0.96132599 0.99354271
## 1147 0.97801062 0.96178452 0.99423671
## 1148 0.97857217 0.96226900 0.99487533
## 1149 0.97915311 0.96280635 0.99549987
## 1150 0.97968548 0.96332849 0.99604247
## 1151 0.98020426 0.96386243 0.99654609
## 1152 0.98070979 0.96440470 0.99701488
## 1153 0.98123278 0.96498670 0.99747885
## 1154 0.98171204 0.96553735 0.99788673
## 1155 0.98217907 0.96608865 0.99826948
## 1156 0.98263416 0.96663889 0.99862944
## 1157 0.98310498 0.96722071 0.99898925
## 1158 0.98353643 0.96776444 0.99930843
## 1159 0.98395687 0.96830340 0.99961033
## 1160 0.98439182 0.96886995 0.99991369
## 
## $coverage_based
##      Assemblage         SC    m        Method Order.q        qD     qD.LCL
## 1          BE10 0.39408454    1   Rarefaction       0  1.000005  0.9031678
## 2          BE10 0.81624219   15   Rarefaction       0  5.138523  3.9686237
## 3          BE10 0.89466844   30   Rarefaction       0  7.261202  5.8972526
## 4          BE10 0.92783460   44   Rarefaction       0  8.493793  6.9705004
## 5          BE10 0.94612196   59   Rarefaction       0  9.433918  7.7427156
## 6          BE10 0.95625439   74   Rarefaction       0 10.164353  8.3049653
## 7          BE10 0.96206318   88   Rarefaction       0 10.736163  8.7213203
## 8          BE10 0.96623309  103   Rarefaction       0 11.274110  9.0936112
## 9          BE10 0.96906748  117   Rarefaction       0 11.727560  9.3890864
## 10         BE10 0.97146996  132   Rarefaction       0 12.174118  9.6489333
## 11         BE10 0.97349012  147   Rarefaction       0 12.587567  9.8255280
## 12         BE10 0.97516349  161   Rarefaction       0 12.947639  9.9029798
## 13         BE10 0.97680512  176   Rarefaction       0 13.308532  9.9304998
## 14         BE10 0.97823491  190   Rarefaction       0 13.623868  9.8717014
## 15         BE10 0.97968357  205   Rarefaction       0 13.940110  9.8397777
## 16         BE10 0.98106612  220   Rarefaction       0 14.235107  9.7933723
## 17         BE10 0.98231255  234   Rarefaction       0 14.492039  9.7069832
## 18         BE10 0.98361695  249   Rarefaction       0 14.748190  9.6001425
## 19         BE10 0.98490566  263   Rarefaction       0 14.973973  9.4452736
## 20         BE10 0.98499094  265      Observed       0 15.000000  9.4452099
## 21         BE10 0.98507574  266 Extrapolation       0 15.015009  9.4348318
## 22         BE10 0.98613547  279 Extrapolation       0 15.202582  9.3013067
## 23         BE10 0.98719272  293 Extrapolation       0 15.389716  9.1634083
## 24         BE10 0.98816936  307 Extrapolation       0 15.562580  9.0377696
## 25         BE10 0.98907151  321 Extrapolation       0 15.722262  8.9351742
## 26         BE10 0.98990488  335 Extrapolation       0 15.869767  8.8177101
## 27         BE10 0.99067469  349 Extrapolation       0 16.006024  8.7053920
## 28         BE10 0.99138580  363 Extrapolation       0 16.131891  8.5992158
## 29         BE10 0.99204269  377 Extrapolation       0 16.248159  8.4994167
## 30         BE10 0.99264948  391 Extrapolation       0 16.355562  8.4061521
## 31         BE10 0.99317142  404 Extrapolation       0 16.447945  8.3243535
## 32         BE10 0.99369214  418 Extrapolation       0 16.540113  8.2409340
## 33         BE10 0.99417315  432 Extrapolation       0 16.625252  8.1623474
## 34         BE10 0.99461749  446 Extrapolation       0 16.703899  8.0885083
## 35         BE10 0.99502793  460 Extrapolation       0 16.776548  8.0192828
## 36         BE10 0.99540708  474 Extrapolation       0 16.843658  7.9544987
## 37         BE10 0.99575732  488 Extrapolation       0 16.905650  7.8939653
## 38         BE10 0.99608085  502 Extrapolation       0 16.962915  7.8374766
## 39         BE10 0.99637971  516 Extrapolation       0 17.015813  7.7848311
## 40         BE10 0.99665578  530 Extrapolation       0 17.064677  7.7358457
## 41         BE11 0.11437155    1   Rarefaction       0  1.000000  0.8823900
## 42         BE11 0.71404943   24   Rarefaction       0 12.039820 10.6583945
## 43         BE11 0.83540696   47   Rarefaction       0 17.059839 15.2814440
## 44         BE11 0.89049749   71   Rarefaction       0 20.301219 18.1713144
## 45         BE11 0.91979579   94   Rarefaction       0 22.469925 20.0184456
## 46         BE11 0.93844882  117   Rarefaction       0 24.094760 21.3400625
## 47         BE11 0.95154503  141   Rarefaction       0 25.411433 22.3526808
## 48         BE11 0.96032454  164   Rarefaction       0 26.423741 23.0543177
## 49         BE11 0.96693307  188   Rarefaction       0 27.295731 23.5227557
## 50         BE11 0.97160537  211   Rarefaction       0 28.002310 23.5392778
## 51         BE11 0.97513590  234   Rarefaction       0 28.614707 22.5315052
## 52         BE11 0.97793683  258   Rarefaction       0 29.177696 21.5067269
## 53         BE11 0.97999182  281   Rarefaction       0 29.661528 20.5734757
## 54         BE11 0.98164234  305   Rarefaction       0 30.121871 19.7569026
## 55         BE11 0.98286542  328   Rarefaction       0 30.530064 19.1398471
## 56         BE11 0.98382524  351   Rarefaction       0 30.913169 18.6853077
## 57         BE11 0.98462189  375   Rarefaction       0 31.291853 18.3503573
## 58         BE11 0.98524932  398   Rarefaction       0 31.638444 18.1268862
## 59         BE11 0.98581560  421   Rarefaction       0 31.975202 17.9458397
## 60         BE11 0.98583798  423      Observed       0 32.000000 17.9501903
## 61         BE11 0.98586031  424 Extrapolation       0 32.014162 17.9440509
## 62         BE11 0.98634292  446 Extrapolation       0 32.320137 17.8055972
## 63         BE11 0.98680906  468 Extrapolation       0 32.615669 17.6681365
## 64         BE11 0.98725929  490 Extrapolation       0 32.901113 17.5326090
## 65         BE11 0.98769415  512 Extrapolation       0 33.176815 17.3998053
## 66         BE11 0.98813292  535 Extrapolation       0 33.454993 17.2650091
## 67         BE11 0.98853796  557 Extrapolation       0 33.711790 17.1406719
## 68         BE11 0.98892918  579 Extrapolation       0 33.959822 17.0182595
## 69         BE11 0.98930704  601 Extrapolation       0 34.199389 16.8981540
## 70         BE11 0.98967201  623 Extrapolation       0 34.430778 16.7806721
## 71         BE11 0.99004026  646 Extrapolation       0 34.664246 16.6609940
## 72         BE11 0.99038020  668 Extrapolation       0 34.879769 16.5499081
## 73         BE11 0.99070854  690 Extrapolation       0 35.087936 16.4424434
## 74         BE11 0.99102567  712 Extrapolation       0 35.288999 16.3377619
## 75         BE11 0.99133198  734 Extrapolation       0 35.483198 16.2357646
## 76         BE11 0.99164104  757 Extrapolation       0 35.679142 16.1320443
## 77         BE11 0.99192634  779 Extrapolation       0 35.860025 16.0356426
## 78         BE11 0.99220191  801 Extrapolation       0 36.034734 15.9419927
## 79         BE11 0.99246807  823 Extrapolation       0 36.203481 15.8510885
## 80         BE11 0.99273662  846 Extrapolation       0 36.373742 15.7589694
## 81         BE12 0.11947921    1   Rarefaction       0  1.000000  0.9069654
## 82         BE12 0.63117812   12   Rarefaction       0  7.345013  6.3167236
## 83         BE12 0.77676623   24   Rarefaction       0 10.836122  9.4411007
## 84         BE12 0.83948693   35   Rarefaction       0 12.944977 11.3998944
## 85         BE12 0.87978515   47   Rarefaction       0 14.630595 13.0284613
## 86         BE12 0.90448130   58   Rarefaction       0 15.821996 14.2009723
## 87         BE12 0.92414757   70   Rarefaction       0 16.854248 15.2052289
## 88         BE12 0.93794572   81   Rarefaction       0 17.616638 15.9127123
## 89         BE12 0.94978665   93   Rarefaction       0 18.293312 16.4931755
## 90         BE12 0.95842030  104   Rarefaction       0 18.800802 16.8892387
## 91         BE12 0.96594846  116   Rarefaction       0 19.256609 17.2155080
## 92         BE12 0.97145820  127   Rarefaction       0 19.602545 17.4473910
## 93         BE12 0.97625071  139   Rarefaction       0 19.917558 17.6524491
## 94         BE12 0.97974725  150   Rarefaction       0 20.160627 17.8096165
## 95         BE12 0.98279641  162   Rarefaction       0 20.386195 17.9078010
## 96         BE12 0.98505792  173   Rarefaction       0 20.563733 17.9760071
## 97         BE12 0.98711297  185   Rarefaction       0 20.731389 18.0218301
## 98         BE12 0.98875698  196   Rarefaction       0 20.864776 18.0354456
## 99         BE12 0.99043062  208   Rarefaction       0 20.989324 18.0343132
## 100        BE12 0.99056668  209      Observed       0 21.000000 18.0336269
## 101        BE12 0.99070080  210 Extrapolation       0 21.009433 18.0312017
## 102        BE12 0.99194150  220 Extrapolation       0 21.096696 18.0006613
## 103        BE12 0.99311595  231 Extrapolation       0 21.179299 17.9605573
## 104        BE12 0.99411924  242 Extrapolation       0 21.249863 17.9183126
## 105        BE12 0.99497630  253 Extrapolation       0 21.310144 17.8769618
## 106        BE12 0.99570846  264 Extrapolation       0 21.361639 17.8385788
## 107        BE12 0.99633391  275 Extrapolation       0 21.405629 17.8033525
## 108        BE12 0.99686821  286 Extrapolation       0 21.443208 17.7715367
## 109        BE12 0.99732464  297 Extrapolation       0 21.475310 17.7431370
## 110        BE12 0.99771455  308 Extrapolation       0 21.502734 17.7180061
## 111        BE12 0.99804763  319 Extrapolation       0 21.526160 17.6959149
## 112        BE12 0.99833217  330 Extrapolation       0 21.546173 17.6765928
## 113        BE12 0.99857524  341 Extrapolation       0 21.563269 17.6597655
## 114        BE12 0.99878289  352 Extrapolation       0 21.577873 17.6451527
## 115        BE12 0.99896027  363 Extrapolation       0 21.590349 17.6325018
## 116        BE12 0.99911180  374 Extrapolation       0 21.601007 17.6215703
## 117        BE12 0.99924125  385 Extrapolation       0 21.610111 17.6121411
## 118        BE12 0.99935183  396 Extrapolation       0 21.617889 17.6040211
## 119        BE12 0.99944629  407 Extrapolation       0 21.624533 17.5970399
## 120        BE12 0.99952699  418 Extrapolation       0 21.630209 17.5910358
## 121        BE13 0.05300481    1   Rarefaction       0  1.000000  0.9483836
## 122        BE13 0.58115955   19   Rarefaction       0 12.630229 11.1601643
## 123        BE13 0.75773941   37   Rarefaction       0 18.418020 16.1718876
## 124        BE13 0.83515803   56   Rarefaction       0 22.229057 19.3216052
## 125        BE13 0.87190830   74   Rarefaction       0 24.851476 21.4408457
## 126        BE13 0.89330283   92   Rarefaction       0 26.959730 23.1317266
## 127        BE13 0.90762563  111   Rarefaction       0 28.848596 24.6419131
## 128        BE13 0.91701137  129   Rarefaction       0 30.427140 25.9021181
## 129        BE13 0.92445702  148   Rarefaction       0 31.933920 27.1001527
## 130        BE13 0.93012965  166   Rarefaction       0 33.243929 28.1280838
## 131        BE13 0.93495832  184   Rarefaction       0 34.459532 29.0546742
## 132        BE13 0.93943469  203   Rarefaction       0 35.654193 29.9178881
## 133        BE13 0.94324420  221   Rarefaction       0 36.711439 30.6180007
## 134        BE13 0.94690765  240   Rarefaction       0 37.756304 31.2136762
## 135        BE13 0.95009556  258   Rarefaction       0 38.684491 31.6053952
## 136        BE13 0.95304544  276   Rarefaction       0 39.557362 31.8549771
## 137        BE13 0.95593050  295   Rarefaction       0 40.423183 32.0368003
## 138        BE13 0.95846878  313   Rarefaction       0 41.194587 32.1618374
## 139        BE13 0.96096096  332   Rarefaction       0 41.946537 32.2449795
## 140        BE13 0.96108718  333      Observed       0 42.000000 32.2619960
## 141        BE13 0.96121300  334 Extrapolation       0 42.038913 32.2661377
## 142        BE13 0.96329068  351 Extrapolation       0 42.681509 32.3257155
## 143        BE13 0.96525706  368 Extrapolation       0 43.289684 32.3676425
## 144        BE13 0.96722443  386 Extrapolation       0 43.898162 32.3948612
## 145        BE13 0.96898010  403 Extrapolation       0 44.441165 32.4082723
## 146        BE13 0.97073664  421 Extrapolation       0 44.984440 32.4141326
## 147        BE13 0.97230417  438 Extrapolation       0 45.469255 32.4164664
## 148        BE13 0.97387249  456 Extrapolation       0 45.954312 32.4237099
## 149        BE13 0.97527204  473 Extrapolation       0 46.387175 32.4226732
## 150        BE13 0.97667230  491 Extrapolation       0 46.820254 32.4132625
## 151        BE13 0.97792188  508 Extrapolation       0 47.206731 32.3981553
## 152        BE13 0.97917208  526 Extrapolation       0 47.593401 32.3771668
## 153        BE13 0.98028776  543 Extrapolation       0 47.938464 32.3535815
## 154        BE13 0.98140399  561 Extrapolation       0 48.283699 32.3256186
## 155        BE13 0.98240011  578 Extrapolation       0 48.591784 32.2972476
## 156        BE13 0.98339673  596 Extrapolation       0 48.900024 32.2658151
## 157        BE13 0.98428611  613 Extrapolation       0 49.175096 32.2353331
## 158        BE13 0.98517593  631 Extrapolation       0 49.450305 32.2026672
## 159        BE13 0.98597000  648 Extrapolation       0 49.695900 32.1717780
## 160        BE13 0.98676447  666 Extrapolation       0 49.941617 32.1393120
## 161        BE14 0.05725589    1   Rarefaction       0  1.000000  0.9395490
## 162        BE14 0.57652840   20   Rarefaction       0 13.090894 11.3631765
## 163        BE14 0.74386538   40   Rarefaction       0 19.715455 17.2021997
## 164        BE14 0.81844953   60   Rarefaction       0 24.044830 20.9956212
## 165        BE14 0.85726202   79   Rarefaction       0 27.113811 23.6252978
## 166        BE14 0.88286082   99   Rarefaction       0 29.707402 25.7847534
## 167        BE14 0.90032026  119   Rarefaction       0 31.874375 27.5424006
## 168        BE14 0.91248101  138   Rarefaction       0 33.653498 28.9606576
## 169        BE14 0.92225218  158   Rarefaction       0 35.306795 30.2632060
## 170        BE14 0.92985846  178   Rarefaction       0 36.786474 31.4151237
## 171        BE14 0.93563297  197   Rarefaction       0 38.065288 32.3978323
## 172        BE14 0.94058411  217   Rarefaction       0 39.303941 33.3376967
## 173        BE14 0.94467832  237   Rarefaction       0 40.452149 34.1988915
## 174        BE14 0.94798360  256   Rarefaction       0 41.472750 34.9555847
## 175        BE14 0.95101639  276   Rarefaction       0 42.483623 35.6917796
## 176        BE14 0.95372344  296   Rarefaction       0 43.437130 36.3562995
## 177        BE14 0.95608650  315   Rarefaction       0 44.294855 36.8739089
## 178        BE14 0.95842760  335   Rarefaction       0 45.150687 37.3033343
## 179        BE14 0.96067416  354   Rarefaction       0 45.937157 37.6184477
## 180        BE14 0.96078462  356      Observed       0 46.000000 37.6530504
## 181        BE14 0.96089478  357 Extrapolation       0 46.039215 37.6673564
## 182        BE14 0.96282550  375 Extrapolation       0 46.726552 37.9092114
## 183        BE14 0.96476016  394 Extrapolation       0 47.415292 38.1356316
## 184        BE14 0.96659414  413 Extrapolation       0 48.068189 38.2447967
## 185        BE14 0.96824347  431 Extrapolation       0 48.655350 38.2661815
## 186        BE14 0.96989617  450 Extrapolation       0 49.243710 38.2294006
## 187        BE14 0.97146286  469 Extrapolation       0 49.801451 38.1304179
## 188        BE14 0.97287180  487 Extrapolation       0 50.303037 37.9943234
## 189        BE14 0.97428363  506 Extrapolation       0 50.805647 37.8199100
## 190        BE14 0.97562198  525 Extrapolation       0 51.282100 37.6246193
## 191        BE14 0.97682558  543 Extrapolation       0 51.710582 37.4253595
## 192        BE14 0.97803164  562 Extrapolation       0 52.139940 37.2059516
## 193        BE14 0.97917494  581 Extrapolation       0 52.546952 36.9820228
## 194        BE14 0.98020312  599 Extrapolation       0 52.912986 36.7688907
## 195        BE14 0.98123341  618 Extrapolation       0 53.279767 36.5452758
## 196        BE14 0.98221007  637 Extrapolation       0 53.627460 36.3248012
## 197        BE14 0.98308841  655 Extrapolation       0 53.940146 36.1201365
## 198        BE14 0.98396853  674 Extrapolation       0 54.253471 35.9093960
## 199        BE14 0.98480285  693 Extrapolation       0 54.550490 35.7050581
## 200        BE14 0.98559375  712 Extrapolation       0 54.832051 35.5075253
## 201        BE15 0.03682863    1   Rarefaction       0  1.000007  0.9724311
## 202        BE15 0.27403269    9   Rarefaction       0  7.814114  6.6215236
## 203        BE15 0.45201084   18   Rarefaction       0 13.581024 11.6705788
## 204        BE15 0.55989945   26   Rarefaction       0 17.562950 15.1985374
## 205        BE15 0.64541235   35   Rarefaction       0 21.159341 18.3906163
## 206        BE15 0.70633001   44   Rarefaction       0 24.092473 20.9842003
## 207        BE15 0.74681802   52   Rarefaction       0 26.293255 22.9116474
## 208        BE15 0.78188506   61   Rarefaction       0 28.424767 24.7495438
## 209        BE15 0.80642382   69   Rarefaction       0 30.080358 26.1473577
## 210        BE15 0.82864400   78   Rarefaction       0 31.730039 27.5034321
## 211        BE15 0.84663366   87   Rarefaction       0 33.197592 28.6664318
## 212        BE15 0.85993315   95   Rarefaction       0 34.376520 29.5610609
## 213        BE15 0.87255116  104   Rarefaction       0 35.585025 30.4322832
## 214        BE15 0.88211068  112   Rarefaction       0 36.570247 31.1032728
## 215        BE15 0.89137544  121   Rarefaction       0 37.593140 31.7526954
## 216        BE15 0.89936200  130   Rarefaction       0 38.537966 32.2580926
## 217        BE15 0.90558182  138   Rarefaction       0 39.320806 32.5670643
## 218        BE15 0.91175739  147   Rarefaction       0 40.145276 32.8195469
## 219        BE15 0.91719745  156   Rarefaction       0 40.889723 33.0063066
## 220        BE15 0.91776515  157      Observed       0 41.000000 33.0538839
## 221        BE15 0.91832895  158 Extrapolation       0 41.082235 33.0755309
## 222        BE15 0.92270243  166 Extrapolation       0 41.720138 33.2335285
## 223        BE15 0.92684171  174 Extrapolation       0 42.323882 33.3713420
## 224        BE15 0.93075933  182 Extrapolation       0 42.895295 33.4967714
## 225        BE15 0.93446717  190 Extrapolation       0 43.436109 33.6082659
## 226        BE15 0.93840168  199 Extrapolation       0 44.009986 33.7171545
## 227        BE15 0.94170027  207 Extrapolation       0 44.491108 33.7958572
## 228        BE15 0.94482222  215 Extrapolation       0 44.946466 33.8601052
## 229        BE15 0.94777698  223 Extrapolation       0 45.377440 33.9126139
## 230        BE15 0.95057352  231 Extrapolation       0 45.785336 33.9555433
## 231        BE15 0.95354103  240 Extrapolation       0 46.218168 33.9946375
## 232        BE15 0.95602890  248 Extrapolation       0 46.581042 34.0200474
## 233        BE15 0.95838355  256 Extrapolation       0 46.924485 34.0455298
## 234        BE15 0.96061211  264 Extrapolation       0 47.249536 34.0638371
## 235        BE15 0.96272133  272 Extrapolation       0 47.557180 34.0785145
## 236        BE15 0.96495950  281 Extrapolation       0 47.883633 34.0914784
## 237        BE15 0.96683592  289 Extrapolation       0 48.157322 34.1004148
## 238        BE15 0.96861185  297 Extrapolation       0 48.416355 34.1020265
## 239        BE15 0.97029268  305 Extrapolation       0 48.661516 34.1128684
## 240        BE15 0.97207628  314 Extrapolation       0 48.921666 34.1175692
## 241        BE16 0.13215078    1   Rarefaction       0  1.000000  0.9030628
## 242        BE16 0.72643580   20   Rarefaction       0  9.838873  8.4292857
## 243        BE16 0.83848640   39   Rarefaction       0 13.870647 12.2470512
## 244        BE16 0.89160832   58   Rarefaction       0 16.410253 14.6329700
## 245        BE16 0.92214177   77   Rarefaction       0 18.170956 16.2460817
## 246        BE16 0.94216733   97   Rarefaction       0 19.523011 17.4401830
## 247        BE16 0.95478907  116   Rarefaction       0 20.500838 18.2706051
## 248        BE16 0.96365661  135   Rarefaction       0 21.275370 18.8983871
## 249        BE16 0.97009659  154   Rarefaction       0 21.904830 19.3771108
## 250        BE16 0.97511101  174   Rarefaction       0 22.452784 19.7619769
## 251        BE16 0.97870991  193   Rarefaction       0 22.891794 20.0284267
## 252        BE16 0.98150301  212   Rarefaction       0 23.270094 20.0479954
## 253        BE16 0.98371261  231   Rarefaction       0 23.600869 19.9302706
## 254        BE16 0.98549713  250   Rarefaction       0 23.893699 19.7745779
## 255        BE16 0.98704331  270   Rarefaction       0 24.168590 19.5847512
## 256        BE16 0.98828703  289   Rarefaction       0 24.403287 19.4252534
## 257        BE16 0.98938008  308   Rarefaction       0 24.615804 19.2816805
## 258        BE16 0.99037797  327   Rarefaction       0 24.808491 19.1382660
## 259        BE16 0.99137931  346   Rarefaction       0 24.985996 18.9902447
## 260        BE16 0.99142871  348      Observed       0 25.000000 18.9890035
## 261        BE16 0.99147783  349 Extrapolation       0 25.008571 18.9813585
## 262        BE16 0.99231537  367 Extrapolation       0 25.154722 18.8469785
## 263        BE16 0.99307060  385 Extrapolation       0 25.286509 18.7192078
## 264        BE16 0.99375160  403 Extrapolation       0 25.405344 18.6010496
## 265        BE16 0.99439797  422 Extrapolation       0 25.518135 18.4967650
## 266        BE16 0.99494852  440 Extrapolation       0 25.614207 18.3932894
## 267        BE16 0.99544497  458 Extrapolation       0 25.700837 18.2973256
## 268        BE16 0.99589263  476 Extrapolation       0 25.778953 18.2087646
## 269        BE16 0.99631751  495 Extrapolation       0 25.853096 18.1230480
## 270        BE16 0.99667942  513 Extrapolation       0 25.916248 18.0488993
## 271        BE16 0.99700576  531 Extrapolation       0 25.973195 17.9813921
## 272        BE16 0.99730003  549 Extrapolation       0 26.024544 17.9203937
## 273        BE16 0.99757932  568 Extrapolation       0 26.073282 17.8619882
## 274        BE16 0.99781722  586 Extrapolation       0 26.114795 17.8118042
## 275        BE16 0.99803174  604 Extrapolation       0 26.152228 17.7662197
## 276        BE16 0.99822518  622 Extrapolation       0 26.185983 17.7248529
## 277        BE16 0.99840877  641 Extrapolation       0 26.218021 17.6853664
## 278        BE16 0.99856516  659 Extrapolation       0 26.245309 17.6515652
## 279        BE16 0.99870617  677 Extrapolation       0 26.269916 17.6209564
## 280        BE16 0.99884001  696 Extrapolation       0 26.293271 17.5917932
## 281        BE17 0.05198763    1   Rarefaction       0  1.000003  0.9455658
## 282        BE17 0.43753991   12   Rarefaction       0  9.239211  7.7614879
## 283        BE17 0.63897372   24   Rarefaction       0 14.739254 12.6412984
## 284        BE17 0.73718204   35   Rarefaction       0 18.171697 15.8358519
## 285        BE17 0.80193865   47   Rarefaction       0 20.939539 18.5296231
## 286        BE17 0.84173095   58   Rarefaction       0 22.907155 20.5091199
## 287        BE17 0.87343389   70   Rarefaction       0 24.622760 22.2591494
## 288        BE17 0.89585196   81   Rarefaction       0 25.898287 23.5521532
## 289        BE17 0.91544934   93   Rarefaction       0 27.036051 24.6764106
## 290        BE17 0.93016542  104   Rarefaction       0 27.890091 25.4896264
## 291        BE17 0.94351930  116   Rarefaction       0 28.652185 26.1839899
## 292        BE17 0.95379193  127   Rarefaction       0 29.220579 26.6694597
## 293        BE17 0.96326121  139   Rarefaction       0 29.721365 27.0450191
## 294        BE17 0.97062394  150   Rarefaction       0 30.087637 27.2294190
## 295        BE17 0.97745851  162   Rarefaction       0 30.401421 27.2949950
## 296        BE17 0.98279493  173   Rarefaction       0 30.621954 27.1847798
## 297        BE17 0.98775628  185   Rarefaction       0 30.800303 26.9273468
## 298        BE17 0.99162707  196   Rarefaction       0 30.915086 26.6021131
## 299        BE17 0.99521531  208   Rarefaction       0 30.992962 26.1986477
## 300        BE17 0.99547629  209      Observed       0 31.000000 26.1686005
## 301        BE17 0.99572304  210 Extrapolation       0 31.004524 26.1378173
## 302        BE17 0.99755915  220 Extrapolation       0 31.038186 25.9005422
## 303        BE17 0.99868299  231 Extrapolation       0 31.058789 25.7497552
## 304        BE17 0.99928938  242 Extrapolation       0 31.069907 25.6667954
## 305        BE17 0.99961657  253 Extrapolation       0 31.075905 25.6215912
## 306        BE17 0.99979311  264 Extrapolation       0 31.079142 25.5970695
## 307        BE17 0.99988837  275 Extrapolation       0 31.080888 25.5838084
## 308        BE17 0.99993977  286 Extrapolation       0 31.081830 25.5766379
## 309        BE17 0.99996750  297 Extrapolation       0 31.082339 25.5727662
## 310        BE17 0.99998246  308 Extrapolation       0 31.082613 25.5706764
## 311        BE17 0.99999054  319 Extrapolation       0 31.082761 25.5695485
## 312        BE17 0.99999489  330 Extrapolation       0 31.082841 25.5689399
## 313        BE17 0.99999725  341 Extrapolation       0 31.082884 25.5686115
## 314        BE17 0.99999851  352 Extrapolation       0 31.082907 25.5684343
## 315        BE17 0.99999920  363 Extrapolation       0 31.082920 25.5683387
## 316        BE17 0.99999957  374 Extrapolation       0 31.082927 25.5682871
## 317        BE17 0.99999977  385 Extrapolation       0 31.082930 25.5682593
## 318        BE17 0.99999987  396 Extrapolation       0 31.082932 25.5682443
## 319        BE17 0.99999993  407 Extrapolation       0 31.082933 25.5682361
## 320        BE17 0.99999996  418 Extrapolation       0 31.082934 25.5682318
## 321        BE18 0.09209837    1   Rarefaction       0  1.000015  0.8899833
## 322        BE18 0.62912716   21   Rarefaction       0 12.112883 10.1601691
## 323        BE18 0.75093743   41   Rarefaction       0 18.210636 15.3547628
## 324        BE18 0.81475664   62   Rarefaction       0 22.736554 19.0641549
## 325        BE18 0.85078840   82   Rarefaction       0 26.072385 21.6559056
## 326        BE18 0.87581477  103   Rarefaction       0 28.939057 23.7613734
## 327        BE18 0.89282127  123   Rarefaction       0 31.252804 25.3907514
## 328        BE18 0.90629084  144   Rarefaction       0 33.362582 26.8367178
## 329        BE18 0.91631973  164   Rarefaction       0 35.137729 28.0160673
## 330        BE18 0.92476065  185   Rarefaction       0 36.807404 29.0698927
## 331        BE18 0.93130597  205   Rarefaction       0 38.247900 29.9036225
## 332        BE18 0.93671757  225   Rarefaction       0 39.568693 30.5698605
## 333        BE18 0.94142393  246   Rarefaction       0 40.848993 31.1606669
## 334        BE18 0.94514889  266   Rarefaction       0 41.984017 31.6352897
## 335        BE18 0.94840708  287   Rarefaction       0 43.102250 31.5854843
## 336        BE18 0.95099661  307   Rarefaction       0 44.108755 31.1358736
## 337        BE18 0.95327517  328   Rarefaction       0 45.114333 30.6057248
## 338        BE18 0.95510772  348   Rarefaction       0 46.030936 30.1730670
## 339        BE18 0.95675676  368   Rarefaction       0 46.916623 29.7856519
## 340        BE18 0.95682988  370      Observed       0 47.000000 29.8121408
## 341        BE18 0.95690287  371 Extrapolation       0 47.043170 29.7978085
## 342        BE18 0.95826659  390 Extrapolation       0 47.849673 29.5208902
## 343        BE18 0.95958716  409 Extrapolation       0 48.630655 29.2381733
## 344        BE18 0.96093211  429 Extrapolation       0 49.426060 28.9354258
## 345        BE18 0.96216833  448 Extrapolation       0 50.157161 28.6388112
## 346        BE18 0.96342738  468 Extrapolation       0 50.901762 28.3280935
## 347        BE18 0.96458464  487 Extrapolation       0 51.586168 28.0318878
## 348        BE18 0.96570529  506 Extrapolation       0 52.248917 27.7375505
## 349        BE18 0.96684662  526 Extrapolation       0 52.923905 27.4271990
## 350        BE18 0.96789569  545 Extrapolation       0 53.544324 27.1334723
## 351        BE18 0.96896413  565 Extrapolation       0 54.176200 26.8256628
## 352        BE18 0.96994620  584 Extrapolation       0 54.756993 26.5355837
## 353        BE18 0.97094640  604 Extrapolation       0 55.348510 26.2336840
## 354        BE18 0.97186574  623 Extrapolation       0 55.892208 25.9503612
## 355        BE18 0.97275599  642 Extrapolation       0 56.418702 25.6710344
## 356        BE18 0.97366268  662 Extrapolation       0 56.954917 25.3818774
## 357        BE18 0.97449607  681 Extrapolation       0 57.447784 25.1122652
## 358        BE18 0.97534484  701 Extrapolation       0 57.949751 24.8341693
## 359        BE18 0.97612500  720 Extrapolation       0 58.411138 24.5756505
## 360        BE18 0.97691957  740 Extrapolation       0 58.881045 24.3097016
## 361        BE19 0.09812942    1   Rarefaction       0  1.000000  0.8942424
## 362        BE19 0.62136876   20   Rarefaction       0 11.653126 10.0672496
## 363        BE19 0.74983982   39   Rarefaction       0 17.536347 15.4875888
## 364        BE19 0.81750925   58   Rarefaction       0 21.624555 19.2802660
## 365        BE19 0.86006567   77   Rarefaction       0 24.681594 22.1411891
## 366        BE19 0.88943495   96   Rarefaction       0 27.060481 24.3749326
## 367        BE19 0.91096565  115   Rarefaction       0 28.957736 26.1532168
## 368        BE19 0.92743996  134   Rarefaction       0 30.494613 27.5848936
## 369        BE19 0.94042403  153   Rarefaction       0 31.751758 28.7386521
## 370        BE19 0.95085691  172   Rarefaction       0 32.786321 29.6573763
## 371        BE19 0.95933684  191   Rarefaction       0 33.640997 30.3679576
## 372        BE19 0.96626662  210   Rarefaction       0 34.349033 30.8730471
## 373        BE19 0.97193074  229   Rarefaction       0 34.937175 31.1091043
## 374        BE19 0.97653842  248   Rarefaction       0 35.427492 31.1752082
## 375        BE19 0.98024928  267   Rarefaction       0 35.838556 31.1340176
## 376        BE19 0.98318961  286   Rarefaction       0 36.186226 30.9661825
## 377        BE19 0.98546317  305   Rarefaction       0 36.484182 30.7951050
## 378        BE19 0.98715871  324   Rarefaction       0 36.744274 30.6934226
## 379        BE19 0.98840580  343   Rarefaction       0 36.979470 30.6204284
## 380        BE19 0.98845613  345      Observed       0 37.000000 30.6268308
## 381        BE19 0.98850625  346 Extrapolation       0 37.011544 30.6263541
## 382        BE19 0.98937207  364 Extrapolation       0 37.210970 30.5949862
## 383        BE19 0.99017267  382 Extrapolation       0 37.395374 30.5535655
## 384        BE19 0.99091295  400 Extrapolation       0 37.565887 30.5065944
## 385        BE19 0.99159747  418 Extrapolation       0 37.723556 30.4563904
## 386        BE19 0.99223043  436 Extrapolation       0 37.869347 30.4047010
## 387        BE19 0.99281571  454 Extrapolation       0 38.004156 30.3527404
## 388        BE19 0.99335690  472 Extrapolation       0 38.128809 30.3013687
## 389        BE19 0.99385732  490 Extrapolation       0 38.244073 30.2511963
## 390        BE19 0.99432004  508 Extrapolation       0 38.350654 30.2026473
## 391        BE19 0.99477071  527 Extrapolation       0 38.454458 30.1535039
## 392        BE19 0.99516463  545 Extrapolation       0 38.545191 30.1091271
## 393        BE19 0.99552888  563 Extrapolation       0 38.629089 30.0669654
## 394        BE19 0.99586569  581 Extrapolation       0 38.706667 30.0270537
## 395        BE19 0.99617712  599 Extrapolation       0 38.778401 29.9893863
## 396        BE19 0.99646510  617 Extrapolation       0 38.844731 29.9539254
## 397        BE19 0.99673138  635 Extrapolation       0 38.906065 29.9206131
## 398        BE19 0.99697760  653 Extrapolation       0 38.962778 29.8893759
## 399        BE19 0.99720528  671 Extrapolation       0 39.015219 29.8601351
## 400        BE19 0.99742702  690 Extrapolation       0 39.066295 29.8313512
## 401         BE2 0.07262649    1   Rarefaction       0  1.000008  0.9588853
## 402         BE2 0.74343162   25   Rarefaction       0 13.023071 11.8764543
## 403         BE2 0.86969842   49   Rarefaction       0 17.407398 15.6457311
## 404         BE2 0.91170859   73   Rarefaction       0 19.980528 17.8229748
## 405         BE2 0.93241015   97   Rarefaction       0 21.838221 19.4215401
## 406         BE2 0.94505087  121   Rarefaction       0 23.304229 20.6962518
## 407         BE2 0.95360086  145   Rarefaction       0 24.518635 21.7491567
## 408         BE2 0.95975632  169   Rarefaction       0 25.557722 22.6430920
## 409         BE2 0.96440804  193   Rarefaction       0 26.467684 23.4199615
## 410         BE2 0.96807227  217   Rarefaction       0 27.278151 24.1050092
## 411         BE2 0.97106761  241   Rarefaction       0 28.008871 24.7122171
## 412         BE2 0.97360130  265   Rarefaction       0 28.673350 25.2473698
## 413         BE2 0.97581399  289   Rarefaction       0 29.280941 25.7069017
## 414         BE2 0.97780377  313   Rarefaction       0 29.838156 26.0725543
## 415         BE2 0.97963947  337   Rarefaction       0 30.349502 26.2295426
## 416         BE2 0.98136873  361   Rarefaction       0 30.818091 26.1023547
## 417         BE2 0.98302314  385   Rarefaction       0 31.246090 25.8559671
## 418         BE2 0.98462199  409   Rarefaction       0 31.635050 25.4750329
## 419         BE2 0.98617512  432   Rarefaction       0 31.975039 24.9971573
## 420         BE2 0.98623868  434      Observed       0 32.000000 24.9871929
## 421         BE2 0.98630195  435 Extrapolation       0 32.013761 24.9663474
## 422         BE2 0.98762262  457 Extrapolation       0 32.301007 24.5151462
## 423         BE2 0.98886738  480 Extrapolation       0 32.571742 24.0747922
## 424         BE2 0.98998695  503 Extrapolation       0 32.815250 23.6639105
## 425         BE2 0.99099394  526 Extrapolation       0 33.034269 23.2813679
## 426         BE2 0.99186224  548 Extrapolation       0 33.223124 22.9412728
## 427         BE2 0.99268063  571 Extrapolation       0 33.401124 22.6116007
## 428         BE2 0.99341672  594 Extrapolation       0 33.561224 22.3083173
## 429         BE2 0.99407878  617 Extrapolation       0 33.705222 22.0313131
## 430         BE2 0.99467426  640 Extrapolation       0 33.834739 21.7793789
## 431         BE2 0.99518773  662 Extrapolation       0 33.946419 21.5604147
## 432         BE2 0.99567169  685 Extrapolation       0 34.051680 21.3528144
## 433         BE2 0.99610697  708 Extrapolation       0 34.146354 21.1648460
## 434         BE2 0.99649848  731 Extrapolation       0 34.231508 20.9948492
## 435         BE2 0.99685062  754 Extrapolation       0 34.308098 20.8413119
## 436         BE2 0.99715426  776 Extrapolation       0 34.374140 20.7085774
## 437         BE2 0.99744045  799 Extrapolation       0 34.436386 20.5834666
## 438         BE2 0.99769786  822 Extrapolation       0 34.492372 20.4732493
## 439         BE2 0.99792938  845 Extrapolation       0 34.542727 20.3695198
## 440         BE2 0.99813761  868 Extrapolation       0 34.588019 20.2759998
## 441        BE20 0.24777798    1   Rarefaction       0  1.000000  0.8117814
## 442        BE20 0.63765407    9   Rarefaction       0  4.998873  3.1288108
## 443        BE20 0.72908010   17   Rarefaction       0  7.549565  5.0664054
## 444        BE20 0.78904434   25   Rarefaction       0  9.491691  6.4683967
## 445        BE20 0.83031142   33   Rarefaction       0 11.025321  7.4682096
## 446        BE20 0.85976895   41   Rarefaction       0 12.273574  8.1524386
## 447        BE20 0.88382201   50   Rarefaction       0 13.433703  8.4189224
## 448        BE20 0.89977722   58   Rarefaction       0 14.304538  6.7803230
## 449        BE20 0.91214270   66   Rarefaction       0 15.061033  4.0457348
## 450        BE20 0.92183727   74   Rarefaction       0 15.728438  1.2431224
## 451        BE20 0.92947966   82   Rarefaction       0 16.325806  0.0000000
## 452        BE20 0.93550847   90   Rarefaction       0 16.867927  0.0000000
## 453        BE20 0.94076516   99   Rarefaction       0 17.426260  0.0000000
## 454        BE20 0.94435685  107   Rarefaction       0 17.886973  0.0000000
## 455        BE20 0.94713630  115   Rarefaction       0 18.321914  0.0000000
## 456        BE20 0.94926245  123   Rarefaction       0 18.737001  0.0000000
## 457        BE20 0.95086636  131   Rarefaction       0 19.136982  0.0000000
## 458        BE20 0.95205760  139   Rarefaction       0 19.525644  0.0000000
## 459        BE20 0.95302013  148   Rarefaction       0 19.931441  0.0000000
## 460        BE20 0.95311065  149      Observed       0 20.000000  0.0000000
## 461        BE20 0.95320100  150 Extrapolation       0 20.046889  0.0000000
## 462        BE20 0.95382856  157 Extrapolation       0 20.372595  0.0000000
## 463        BE20 0.95453548  165 Extrapolation       0 20.739485  0.0000000
## 464        BE20 0.95523157  173 Extrapolation       0 21.100758  0.0000000
## 465        BE20 0.95591701  181 Extrapolation       0 21.456499  0.0000000
## 466        BE20 0.95650815  188 Extrapolation       0 21.763302  0.0000000
## 467        BE20 0.95717404  196 Extrapolation       0 22.108900  0.0000000
## 468        BE20 0.95782974  204 Extrapolation       0 22.449206  0.0000000
## 469        BE20 0.95847540  212 Extrapolation       0 22.784301  0.0000000
## 470        BE20 0.95911117  220 Extrapolation       0 23.114267  0.0000000
## 471        BE20 0.95965948  227 Extrapolation       0 23.398839  0.0000000
## 472        BE20 0.96027712  235 Extrapolation       0 23.719395  0.0000000
## 473        BE20 0.96088530  243 Extrapolation       0 24.035044  0.0000000
## 474        BE20 0.96148418  251 Extrapolation       0 24.345859  0.0000000
## 475        BE20 0.96207388  259 Extrapolation       0 24.651916  0.0000000
## 476        BE20 0.96258246  266 Extrapolation       0 24.915869  0.0000000
## 477        BE20 0.96315535  274 Extrapolation       0 25.213198  0.0000000
## 478        BE20 0.96371947  282 Extrapolation       0 25.505975  0.0000000
## 479        BE20 0.96427495  290 Extrapolation       0 25.794270  0.0000000
## 480        BE20 0.96482193  298 Extrapolation       0 26.078150  0.0000000
## 481        BE21 0.06068730    1   Rarefaction       0  1.000000  0.9137478
## 482        BE21 0.61740609   21   Rarefaction       0 13.115675 11.7045812
## 483        BE21 0.78513848   42   Rarefaction       0 19.201213 17.5049286
## 484        BE21 0.86027063   63   Rarefaction       0 22.873653 20.9493100
## 485        BE21 0.89945220   83   Rarefaction       0 25.261994 23.1238285
## 486        BE21 0.92460260  104   Rarefaction       0 27.101914 24.7343705
## 487        BE21 0.94107230  125   Rarefaction       0 28.509441 25.9081811
## 488        BE21 0.95207513  145   Rarefaction       0 29.577592 26.7450188
## 489        BE21 0.96053051  166   Rarefaction       0 30.494988 27.3986392
## 490        BE21 0.96685128  187   Rarefaction       0 31.257565 27.8497933
## 491        BE21 0.97147344  207   Rarefaction       0 31.874714 28.0790233
## 492        BE21 0.97525788  228   Rarefaction       0 32.434286 28.1891061
## 493        BE21 0.97822502  249   Rarefaction       0 32.922968 28.2482185
## 494        BE21 0.98047226  269   Rarefaction       0 33.336297 28.0757592
## 495        BE21 0.98235909  290   Rarefaction       0 33.726760 27.7968640
## 496        BE21 0.98385983  311   Rarefaction       0 34.081607 27.4997216
## 497        BE21 0.98499541  331   Rarefaction       0 34.393189 27.2685665
## 498        BE21 0.98592822  352   Rarefaction       0 34.698527 27.1049457
## 499        BE21 0.98663102  372   Rarefaction       0 34.979736 27.0218999
## 500        BE21 0.98665963  374      Observed       0 35.000000 27.0273936
## 501        BE21 0.98668818  375 Extrapolation       0 35.013340 27.0266539
## 502        BE21 0.98721918  394 Extrapolation       0 35.261452 26.9960175
## 503        BE21 0.98775527  414 Extrapolation       0 35.511937 26.9601206
## 504        BE21 0.98824370  433 Extrapolation       0 35.740160 26.9243253
## 505        BE21 0.98873682  453 Extrapolation       0 35.970566 26.8858987
## 506        BE21 0.98920924  473 Extrapolation       0 36.191308 26.8476268
## 507        BE21 0.98963968  492 Extrapolation       0 36.392431 26.8113630
## 508        BE21 0.99007424  512 Extrapolation       0 36.595478 26.7718470
## 509        BE21 0.99049057  532 Extrapolation       0 36.790008 26.7314249
## 510        BE21 0.99086990  551 Extrapolation       0 36.967249 26.6925821
## 511        BE21 0.99125286  571 Extrapolation       0 37.146186 26.6515802
## 512        BE21 0.99160178  590 Extrapolation       0 37.309219 26.6128088
## 513        BE21 0.99195403  610 Extrapolation       0 37.473812 26.5723115
## 514        BE21 0.99229152  630 Extrapolation       0 37.631501 26.5327438
## 515        BE21 0.99259901  649 Extrapolation       0 37.775175 26.4954613
## 516        BE21 0.99290944  669 Extrapolation       0 37.920223 26.4568261
## 517        BE21 0.99320685  689 Extrapolation       0 38.059188 26.4189079
## 518        BE21 0.99347782  708 Extrapolation       0 38.185802 26.3836174
## 519        BE21 0.99375139  728 Extrapolation       0 38.313627 26.3472936
## 520        BE21 0.99401349  748 Extrapolation       0 38.436091 26.3118552
## 521        BE22 0.11389760    1   Rarefaction       0  1.000000  0.8759534
## 522        BE22 0.63383206   13   Rarefaction       0  7.899470  6.8242971
## 523        BE22 0.78484421   26   Rarefaction       0 11.603773 10.0721170
## 524        BE22 0.85155042   39   Rarefaction       0 13.950398 12.0316082
## 525        BE22 0.88736372   52   Rarefaction       0 15.644976 13.4439130
## 526        BE22 0.90852845   64   Rarefaction       0 16.872635 14.4882727
## 527        BE22 0.92504806   77   Rarefaction       0 17.957382 15.4208320
## 528        BE22 0.93770177   90   Rarefaction       0 18.852568 16.1775332
## 529        BE22 0.94781145  103   Rarefaction       0 19.599491 16.7749386
## 530        BE22 0.95605909  116   Rarefaction       0 20.226704 17.2251978
## 531        BE22 0.96237501  128   Rarefaction       0 20.718152 17.5181834
## 532        BE22 0.96807363  141   Rarefaction       0 21.171920 17.7018361
## 533        BE22 0.97278365  154   Rarefaction       0 21.557731 17.7376481
## 534        BE22 0.97666412  167   Rarefaction       0 21.887441 17.6531533
## 535        BE22 0.97961802  179   Rarefaction       0 22.150670 17.4809752
## 536        BE22 0.98223039  192   Rarefaction       0 22.399347 17.2867191
## 537        BE22 0.98430687  205   Rarefaction       0 22.617351 17.1386728
## 538        BE22 0.98590600  218   Rarefaction       0 22.811278 17.0245678
## 539        BE22 0.98706897  231   Rarefaction       0 22.983640 16.9767916
## 540        BE22 0.98714318  232      Observed       0 23.000000 16.9792538
## 541        BE22 0.98721696  233 Extrapolation       0 23.012857 16.9780803
## 542        BE22 0.98807002  245 Extrapolation       0 23.161503 16.9554159
## 543        BE22 0.98886616  257 Extrapolation       0 23.300229 16.9306873
## 544        BE22 0.98960916  269 Extrapolation       0 23.429698 16.9048786
## 545        BE22 0.99030258  281 Extrapolation       0 23.550527 16.8788376
## 546        BE22 0.99094973  293 Extrapolation       0 23.663292 16.8532741
## 547        BE22 0.99155369  305 Extrapolation       0 23.768532 16.8283544
## 548        BE22 0.99216258  318 Extrapolation       0 23.874632 16.8022859
## 549        BE22 0.99268560  330 Extrapolation       0 23.965768 16.7781214
## 550        BE22 0.99317372  342 Extrapolation       0 24.050823 16.7543779
## 551        BE22 0.99362927  354 Extrapolation       0 24.130201 16.7312231
## 552        BE22 0.99405441  366 Extrapolation       0 24.204283 16.7087825
## 553        BE22 0.99445118  378 Extrapolation       0 24.273420 16.6871498
## 554        BE22 0.99485120  391 Extrapolation       0 24.343123 16.6647077
## 555        BE22 0.99519480  403 Extrapolation       0 24.402995 16.6449781
## 556        BE22 0.99551547  415 Extrapolation       0 24.458872 16.6263029
## 557        BE22 0.99581474  427 Extrapolation       0 24.511020 16.6082632
## 558        BE22 0.99609404  439 Extrapolation       0 24.559688 16.5921525
## 559        BE22 0.99635470  451 Extrapolation       0 24.605108 16.5764230
## 560        BE22 0.99661749  464 Extrapolation       0 24.650899 16.5603328
## 561        BE23 0.14398109    1   Rarefaction       0  1.000000  0.8909885
## 562        BE23 0.67438601   13   Rarefaction       0  7.303659  6.2894119
## 563        BE23 0.80211093   25   Rarefaction       0 10.396892  8.9752399
## 564        BE23 0.86004708   37   Rarefaction       0 12.413750 10.7153301
## 565        BE23 0.89180865   49   Rarefaction       0 13.902559 11.9972079
## 566        BE23 0.91378586   62   Rarefaction       0 15.168012 13.0654128
## 567        BE23 0.92844610   74   Rarefaction       0 16.118073 13.8170680
## 568        BE23 0.93994475   86   Rarefaction       0 16.910939 14.3596512
## 569        BE23 0.94924853   98   Rarefaction       0 17.578553 14.6950737
## 570        BE23 0.95743028  111   Rarefaction       0 18.187332 14.8014177
## 571        BE23 0.96355586  123   Rarefaction       0 18.663241 14.5682576
## 572        BE23 0.96853028  135   Rarefaction       0 19.072158 13.8501488
## 573        BE23 0.97251859  147   Rarefaction       0 19.426952 12.9824215
## 574        BE23 0.97565663  159   Rarefaction       0 19.738685 12.2428734
## 575        BE23 0.97822831  172   Rarefaction       0 20.038857 11.6587307
## 576        BE23 0.97993955  184   Rarefaction       0 20.290118 11.2999912
## 577        BE23 0.98109522  196   Rarefaction       0 20.523969 11.1143139
## 578        BE23 0.98175904  208   Rarefaction       0 20.746715 11.0959465
## 579        BE23 0.98198198  220   Rarefaction       0 20.968406 11.2358887
## 580        BE23 0.98203617  222      Observed       0 21.000000 11.2470585
## 581        BE23 0.98209020  223 Extrapolation       0 21.017964 11.2461324
## 582        BE23 0.98267387  234 Extrapolation       0 21.212036 11.2328514
## 583        BE23 0.98328894  246 Extrapolation       0 21.416544 11.2140860
## 584        BE23 0.98383354  257 Extrapolation       0 21.597627 11.1957208
## 585        BE23 0.98440744  269 Extrapolation       0 21.788447 11.1747875
## 586        BE23 0.98496096  281 Extrapolation       0 21.972493 11.1532616
## 587        BE23 0.98545108  292 Extrapolation       0 22.135458 11.1333161
## 588        BE23 0.98596756  304 Extrapolation       0 22.307185 11.1116995
## 589        BE23 0.98646570  316 Extrapolation       0 22.472817 11.0902748
## 590        BE23 0.98690678  327 Extrapolation       0 22.619476 11.0717582
## 591        BE23 0.98737157  339 Extrapolation       0 22.774021 11.0507103
## 592        BE23 0.98778313  350 Extrapolation       0 22.910864 11.0311861
## 593        BE23 0.98821682  362 Extrapolation       0 23.055065 11.0097309
## 594        BE23 0.98863511  374 Extrapolation       0 23.194148 10.9882128
## 595        BE23 0.98900549  385 Extrapolation       0 23.317299 10.9684979
## 596        BE23 0.98939579  397 Extrapolation       0 23.447072 10.9470621
## 597        BE23 0.98977223  409 Extrapolation       0 23.572239 10.9257622
## 598        BE23 0.99010555  420 Extrapolation       0 23.683068 10.9063982
## 599        BE23 0.99045679  432 Extrapolation       0 23.799857 10.8854932
## 600        BE23 0.99079557  444 Extrapolation       0 23.912500 10.8648380
## 601        BE24 0.32822193    1   Rarefaction       0  1.000001  0.8684834
## 602        BE24 0.76899938   18   Rarefaction       0  6.864984  5.5314105
## 603        BE24 0.85329053   35   Rarefaction       0 10.030666  8.4369960
## 604        BE24 0.89676414   52   Rarefaction       0 12.141488 10.3520852
## 605        BE24 0.92253699   69   Rarefaction       0 13.673474 11.7472061
## 606        BE24 0.94020765   87   Rarefaction       0 14.906928 12.8855922
## 607        BE24 0.95179681  104   Rarefaction       0 15.825389 13.7349840
## 608        BE24 0.96036233  121   Rarefaction       0 16.572932 14.4152417
## 609        BE24 0.96694561  138   Rarefaction       0 17.191822 14.9631987
## 610        BE24 0.97243795  156   Rarefaction       0 17.738221 15.4293258
## 611        BE24 0.97662723  173   Rarefaction       0 18.172099 15.7755598
## 612        BE24 0.98009597  190   Rarefaction       0 18.540800 16.0139063
## 613        BE24 0.98300766  207   Rarefaction       0 18.855179 16.0413589
## 614        BE24 0.98547700  224   Rarefaction       0 19.123735 15.8767542
## 615        BE24 0.98770162  242   Rarefaction       0 19.365698 15.5896124
## 616        BE24 0.98949886  259   Rarefaction       0 19.560013 15.2668059
## 617        BE24 0.99104790  276   Rarefaction       0 19.725817 14.9642521
## 618        BE24 0.99238278  293   Rarefaction       0 19.867040 14.6728232
## 619        BE24 0.99358974  310   Rarefaction       0 19.989164 14.3885735
## 620        BE24 0.99365099  312      Observed       0 20.000000 14.3790235
## 621        BE24 0.99371165  313 Extrapolation       0 20.006349 14.3648847
## 622        BE24 0.99460702  329 Extrapolation       0 20.100065 14.1485847
## 623        BE24 0.99537491  345 Extrapolation       0 20.180437 13.9585040
## 624        BE24 0.99607135  362 Extrapolation       0 20.253331 13.7828351
## 625        BE24 0.99663074  378 Extrapolation       0 20.311880 13.6401307
## 626        BE24 0.99711047  394 Extrapolation       0 20.362093 13.5164109
## 627        BE24 0.99754558  411 Extrapolation       0 20.407634 13.4015665
## 628        BE24 0.99789505  427 Extrapolation       0 20.444212 13.3085128
## 629        BE24 0.99819477  443 Extrapolation       0 20.475582 13.2281422
## 630        BE24 0.99846660  460 Extrapolation       0 20.504034 13.1548015
## 631        BE24 0.99868493  476 Extrapolation       0 20.526886 13.0955881
## 632        BE24 0.99888296  493 Extrapolation       0 20.547613 13.0416496
## 633        BE24 0.99904201  509 Extrapolation       0 20.564260 12.9981645
## 634        BE24 0.99917841  525 Extrapolation       0 20.578537 12.9607576
## 635        BE24 0.99930213  542 Extrapolation       0 20.591486 12.9267381
## 636        BE24 0.99940149  558 Extrapolation       0 20.601886 12.8993506
## 637        BE24 0.99948671  574 Extrapolation       0 20.610806 12.8758184
## 638        BE24 0.99956400  591 Extrapolation       0 20.618896 12.8544390
## 639        BE24 0.99962608  607 Extrapolation       0 20.625393 12.8372417
## 640        BE24 0.99968239  624 Extrapolation       0 20.631286 12.8216251
## 641        BE25 0.11156453    1   Rarefaction       0  1.000004  0.8692389
## 642        BE25 0.61809147   14   Rarefaction       0  8.523517  7.0855144
## 643        BE25 0.75669055   27   Rarefaction       0 12.536061 10.4722408
## 644        BE25 0.82406428   40   Rarefaction       0 15.249263 12.6979376
## 645        BE25 0.86210389   53   Rarefaction       0 17.287510 14.3746413
## 646        BE25 0.88616946   66   Rarefaction       0 18.925221 15.7378890
## 647        BE25 0.90276711   79   Rarefaction       0 20.299448 16.8903971
## 648        BE25 0.91496256   92   Rarefaction       0 21.486615 17.8833462
## 649        BE25 0.92436761  105   Rarefaction       0 22.533260 18.7426301
## 650        BE25 0.93191280  118   Rarefaction       0 23.469567 19.4781501
## 651        BE25 0.93817443  131   Rarefaction       0 24.315981 20.0984366
## 652        BE25 0.94352879  144   Rarefaction       0 25.086767 20.6260412
## 653        BE25 0.94823277  157   Rarefaction       0 25.792079 21.0736129
## 654        BE25 0.95246863  170   Rarefaction       0 26.439213 21.4158061
## 655        BE25 0.95636962  183   Rarefaction       0 27.033413 21.6058816
## 656        BE25 0.96003419  196   Rarefaction       0 27.578409 21.6576463
## 657        BE25 0.96353391  209   Rarefaction       0 28.076820 21.4671714
## 658        BE25 0.96691767  222   Rarefaction       0 28.530470 21.0128351
## 659        BE25 0.97046414  236   Rarefaction       0 28.967217 20.3295782
## 660        BE25 0.97071234  237      Observed       0 29.000000 20.2801612
## 661        BE25 0.97095845  238 Extrapolation       0 29.029288 20.2261825
## 662        BE25 0.97375538  250 Extrapolation       0 29.362122 19.5791258
## 663        BE25 0.97628294  262 Extrapolation       0 29.662902 18.9618411
## 664        BE25 0.97874718  275 Extrapolation       0 29.956147 18.3225064
## 665        BE25 0.98079400  287 Extrapolation       0 30.199717 17.7660259
## 666        BE25 0.98278953  300 Extrapolation       0 30.437187 17.2042878
## 667        BE25 0.98444704  312 Extrapolation       0 30.634429 16.7270962
## 668        BE25 0.98594491  324 Extrapolation       0 30.812676 16.2864773
## 669        BE25 0.98740526  337 Extrapolation       0 30.986458 15.8483384
## 670        BE25 0.98861823  349 Extrapolation       0 31.130801 15.4829470
## 671        BE25 0.98980081  362 Extrapolation       0 31.271529 15.1207051
## 672        BE25 0.99078308  374 Extrapolation       0 31.388418 14.8168685
## 673        BE25 0.99174073  387 Extrapolation       0 31.502379 14.5182482
## 674        BE25 0.99253616  399 Extrapolation       0 31.597035 14.2685706
## 675        BE25 0.99325499  411 Extrapolation       0 31.682576 14.0417472
## 676        BE25 0.99395581  424 Extrapolation       0 31.765973 13.8195750
## 677        BE25 0.99453791  436 Extrapolation       0 31.835243 13.6343014
## 678        BE25 0.99510543  449 Extrapolation       0 31.902778 13.4530536
## 679        BE25 0.99557682  461 Extrapolation       0 31.958873 13.3020642
## 680        BE25 0.99603639  474 Extrapolation       0 32.013563 13.1544825
## 681        BE26 0.17649032    1   Rarefaction       0  1.000011  0.8615607
## 682        BE26 0.71248632   17   Rarefaction       0  8.294866  6.8258599
## 683        BE26 0.82161090   34   Rarefaction       0 12.173888 10.3173551
## 684        BE26 0.87302787   51   Rarefaction       0 14.750612 12.6051034
## 685        BE26 0.90285857   68   Rarefaction       0 16.650579 14.2527796
## 686        BE26 0.92223509   85   Rarefaction       0 18.136340 15.5078189
## 687        BE26 0.93573896  102   Rarefaction       0 19.343969 16.5040136
## 688        BE26 0.94510913  118   Rarefaction       0 20.298432 17.2763094
## 689        BE26 0.95270880  135   Rarefaction       0 21.167954 17.9728629
## 690        BE26 0.95862308  152   Rarefaction       0 21.922608 18.5757487
## 691        BE26 0.96334193  169   Rarefaction       0 22.586843 19.1025649
## 692        BE26 0.96719787  186   Rarefaction       0 23.178151 19.5591009
## 693        BE26 0.97042646  203   Rarefaction       0 23.709207 19.9403778
## 694        BE26 0.97304684  219   Rarefaction       0 24.162274 20.1991239
## 695        BE26 0.97550935  236   Rarefaction       0 24.600382 20.2607293
## 696        BE26 0.97773520  253   Rarefaction       0 24.998639 20.1877997
## 697        BE26 0.97979580  270   Rarefaction       0 25.360463 20.0423184
## 698        BE26 0.98174177  287   Rarefaction       0 25.688233 19.8117793
## 699        BE26 0.98360656  303   Rarefaction       0 25.973329 19.4793785
## 700        BE26 0.98371370  305      Observed       0 26.000000 19.4689015
## 701        BE26 0.98382015  306 Extrapolation       0 26.016286 19.4471183
## 702        BE26 0.98543170  322 Extrapolation       0 26.262853 19.1025952
## 703        BE26 0.98688273  338 Extrapolation       0 26.484861 18.7584227
## 704        BE26 0.98818924  354 Extrapolation       0 26.684756 18.4309977
## 705        BE26 0.98936561  370 Extrapolation       0 26.864742 18.1205833
## 706        BE26 0.99042482  386 Extrapolation       0 27.026800 17.8338286
## 707        BE26 0.99137853  402 Extrapolation       0 27.172718 17.5685430
## 708        BE26 0.99223724  418 Extrapolation       0 27.304101 17.3231329
## 709        BE26 0.99301043  434 Extrapolation       0 27.422399 17.0972217
## 710        BE26 0.99370660  450 Extrapolation       0 27.528914 16.8900822
## 711        BE26 0.99433344  466 Extrapolation       0 27.624819 16.7011294
## 712        BE26 0.99489784  482 Extrapolation       0 27.711173 16.5292156
## 713        BE26 0.99540602  498 Extrapolation       0 27.788925 16.3730648
## 714        BE26 0.99586359  514 Extrapolation       0 27.858933 16.2314213
## 715        BE26 0.99627559  530 Extrapolation       0 27.921968 16.1030759
## 716        BE26 0.99664655  546 Extrapolation       0 27.978725 15.9868792
## 717        BE26 0.99698056  562 Extrapolation       0 28.029829 15.8817871
## 718        BE26 0.99728130  578 Extrapolation       0 28.075842 15.7868105
## 719        BE26 0.99755209  594 Extrapolation       0 28.117273 15.7010202
## 720        BE26 0.99779591  610 Extrapolation       0 28.154577 15.6235596
## 721        BE27 0.08308635    1   Rarefaction       0  1.000004  0.9108543
## 722        BE27 0.62880853   18   Rarefaction       0 10.875745  9.5032343
## 723        BE27 0.76764436   35   Rarefaction       0 15.893032 13.8012265
## 724        BE27 0.82946971   52   Rarefaction       0 19.289492 16.4918775
## 725        BE27 0.86321009   69   Rarefaction       0 21.893523 18.4101973
## 726        BE27 0.88522295   87   Rarefaction       0 24.154245 19.9798742
## 727        BE27 0.89941483  104   Rarefaction       0 25.985423 21.1757687
## 728        BE27 0.91002167  121   Rarefaction       0 27.606655 22.1547908
## 729        BE27 0.91842870  138   Rarefaction       0 29.066563 22.9502324
## 730        BE27 0.92575202  156   Rarefaction       0 30.470592 23.6197860
## 731        BE27 0.93160818  173   Rarefaction       0 31.684711 24.1024302
## 732        BE27 0.93667686  190   Rarefaction       0 32.805833 24.4133659
## 733        BE27 0.94110356  207   Rarefaction       0 33.846082 24.3359986
## 734        BE27 0.94498420  224   Rarefaction       0 34.815560 23.5776934
## 735        BE27 0.94857320  242   Rarefaction       0 35.774586 22.0020857
## 736        BE27 0.95152591  259   Rarefaction       0 36.624651 20.4306722
## 737        BE27 0.95409683  276   Rarefaction       0 37.427632 18.9247548
## 738        BE27 0.95632134  293   Rarefaction       0 38.189723 17.5690363
## 739        BE27 0.95833333  310   Rarefaction       0 38.917532 16.3172074
## 740        BE27 0.95843614  312      Observed       0 39.000000 16.2974899
## 741        BE27 0.95853869  313 Extrapolation       0 39.041564 16.2368078
## 742        BE27 0.96014551  329 Extrapolation       0 39.692809 15.2734539
## 743        BE27 0.96169006  345 Extrapolation       0 40.318816 14.3295893
## 744        BE27 0.96326561  362 Extrapolation       0 40.957387 13.3511188
## 745        BE27 0.96468925  378 Extrapolation       0 41.534385 12.4559351
## 746        BE27 0.96605771  394 Extrapolation       0 42.089022 11.5933465
## 747        BE27 0.96745363  411 Extrapolation       0 42.654791 10.7156208
## 748        BE27 0.96871496  427 Extrapolation       0 43.166006  9.9331727
## 749        BE27 0.96992740  443 Extrapolation       0 43.657410  9.1705893
## 750        BE27 0.97116418  460 Extrapolation       0 44.158677  8.3780600
## 751        BE27 0.97228171  476 Extrapolation       0 44.611610  7.6609720
## 752        BE27 0.97342166  493 Extrapolation       0 45.073633  6.9172061
## 753        BE27 0.97445170  509 Extrapolation       0 45.491107  6.2378393
## 754        BE27 0.97544182  525 Extrapolation       0 45.892402  5.5825316
## 755        BE27 0.97645181  542 Extrapolation       0 46.301752  4.9067990
## 756        BE27 0.97736441  558 Extrapolation       0 46.671630  4.2916277
## 757        BE27 0.97824165  574 Extrapolation       0 47.027174  3.6965073
## 758        BE27 0.97913649  591 Extrapolation       0 47.389854  3.0858735
## 759        BE27 0.97994505  607 Extrapolation       0 47.717564  2.5312156
## 760        BE27 0.98076984  624 Extrapolation       0 48.051851  1.9627556
## 761        BE28 0.07690575    1   Rarefaction       0  1.000000  0.9138547
## 762        BE28 0.59781719   15   Rarefaction       0  9.699110  8.3832681
## 763        BE28 0.76084622   30   Rarefaction       0 14.392766 12.6690101
## 764        BE28 0.83276122   45   Rarefaction       0 17.418907 15.3982933
## 765        BE28 0.87147042   59   Rarefaction       0 19.488163 17.1807554
## 766        BE28 0.89842546   74   Rarefaction       0 21.213805 18.5795415
## 767        BE28 0.91688642   89   Rarefaction       0 22.600171 19.6371169
## 768        BE28 0.93019342  104   Rarefaction       0 23.748697 20.4756040
## 769        BE28 0.93961588  118   Rarefaction       0 24.662034 21.1286876
## 770        BE28 0.94754955  133   Rarefaction       0 25.509952 21.7304474
## 771        BE28 0.95390878  148   Rarefaction       0 26.250541 22.2407429
## 772        BE28 0.95879774  162   Rarefaction       0 26.863021 22.6033660
## 773        BE28 0.96316970  177   Rarefaction       0 27.449457 22.7858005
## 774        BE28 0.96681914  192   Rarefaction       0 27.975553 22.8165459
## 775        BE28 0.96986874  207   Rarefaction       0 28.451233 22.7861796
## 776        BE28 0.97225314  221   Rarefaction       0 28.857092 22.6791662
## 777        BE28 0.97437953  236   Rarefaction       0 29.257897 22.5678101
## 778        BE28 0.97612038  251   Rarefaction       0 29.629572 22.4920025
## 779        BE28 0.97752809  265   Rarefaction       0 29.963526 22.4494035
## 780        BE28 0.97761225  267      Observed       0 30.000000 22.4633504
## 781        BE28 0.97769610  268 Extrapolation       0 30.022388 22.4640739
## 782        BE28 0.97883755  282 Extrapolation       0 30.327153 22.4551841
## 783        BE28 0.97992058  296 Extrapolation       0 30.616322 22.4402066
## 784        BE28 0.98094818  310 Extrapolation       0 30.890692 22.4215093
## 785        BE28 0.98192319  324 Extrapolation       0 31.151020 22.4003629
## 786        BE28 0.98284831  338 Extrapolation       0 31.398026 22.3751909
## 787        BE28 0.98372608  352 Extrapolation       0 31.632391 22.3468615
## 788        BE28 0.98455893  366 Extrapolation       0 31.854761 22.3162267
## 789        BE28 0.98534915  380 Extrapolation       0 32.065752 22.2840023
## 790        BE28 0.98609894  394 Extrapolation       0 32.265944 22.2508575
## 791        BE28 0.98681035  408 Extrapolation       0 32.455891 22.2172346
## 792        BE28 0.98748536  422 Extrapolation       0 32.636118 22.1834700
## 793        BE28 0.98812582  436 Extrapolation       0 32.807121 22.1498346
## 794        BE28 0.98873350  450 Extrapolation       0 32.969372 22.1161421
## 795        BE28 0.98931008  464 Extrapolation       0 33.123321 22.0838177
## 796        BE28 0.98985716  478 Extrapolation       0 33.269390 22.0517974
## 797        BE28 0.99037624  492 Extrapolation       0 33.407984 22.0205803
## 798        BE28 0.99086875  506 Extrapolation       0 33.539485 21.9902307
## 799        BE28 0.99133606  520 Extrapolation       0 33.664257 21.9608011
## 800        BE28 0.99177946  534 Extrapolation       0 33.782643 21.9323221
## 801        BE29 0.10471721    1   Rarefaction       0  1.000000  0.8826242
## 802        BE29 0.63849125   14   Rarefaction       0  8.453725  7.4177423
## 803        BE29 0.78373281   27   Rarefaction       0 12.155710 11.0376307
## 804        BE29 0.86120259   41   Rarefaction       0 14.623939 13.3002402
## 805        BE29 0.90181055   54   Rarefaction       0 16.162183 14.6301330
## 806        BE29 0.92664943   67   Rarefaction       0 17.277252 15.5547953
## 807        BE29 0.94368648   81   Rarefaction       0 18.184816 16.2857075
## 808        BE29 0.95436775   94   Rarefaction       0 18.848822 16.8132817
## 809        BE29 0.96261576  108   Rarefaction       0 19.431023 17.2767974
## 810        BE29 0.96837592  121   Rarefaction       0 19.880895 17.6386223
## 811        BE29 0.97292530  134   Rarefaction       0 20.263634 17.9498026
## 812        BE29 0.97688041  148   Rarefaction       0 20.616016 18.2394996
## 813        BE29 0.97991798  161   Rarefaction       0 20.897785 18.4735062
## 814        BE29 0.98268381  175   Rarefaction       0 21.160430 18.6822839
## 815        BE29 0.98489608  188   Rarefaction       0 21.371946 18.7849662
## 816        BE29 0.98684432  201   Rarefaction       0 21.556356 18.8355382
## 817        BE29 0.98870945  215   Rarefaction       0 21.728161 18.8468728
## 818        BE29 0.99026362  228   Rarefaction       0 21.865444 18.8210488
## 819        BE29 0.99176955  242   Rarefaction       0 21.988576 18.7893483
## 820        BE29 0.99187033  243      Observed       0 22.000000 18.7892137
## 821        BE29 0.99196988  244 Extrapolation       0 22.008130 18.7852740
## 822        BE29 0.99307350  256 Extrapolation       0 22.098259 18.7376422
## 823        BE29 0.99409861  269 Extrapolation       0 22.181976 18.6883719
## 824        BE29 0.99497200  282 Extrapolation       0 22.253303 18.6436992
## 825        BE29 0.99566303  294 Extrapolation       0 22.309737 18.6071192
## 826        BE29 0.99630489  307 Extrapolation       0 22.362156 18.5722224
## 827        BE29 0.99685176  320 Extrapolation       0 22.406817 18.5408298
## 828        BE29 0.99731769  333 Extrapolation       0 22.444868 18.5128488
## 829        BE29 0.99768634  345 Extrapolation       0 22.474974 18.4899272
## 830        BE29 0.99802876  358 Extrapolation       0 22.502938 18.4680315
## 831        BE29 0.99832050  371 Extrapolation       0 22.526764 18.4489235
## 832        BE29 0.99856906  384 Extrapolation       0 22.547063 18.4323195
## 833        BE29 0.99876572  396 Extrapolation       0 22.563124 18.4189736
## 834        BE29 0.99894839  409 Extrapolation       0 22.578042 18.4064127
## 835        BE29 0.99910403  422 Extrapolation       0 22.590752 18.3955866
## 836        BE29 0.99923663  435 Extrapolation       0 22.601581 18.3862729
## 837        BE29 0.99934154  447 Extrapolation       0 22.610149 18.3788465
## 838        BE29 0.99943899  460 Extrapolation       0 22.618108 18.3719020
## 839        BE29 0.99952202  473 Extrapolation       0 22.624888 18.3659496
## 840        BE29 0.99959276  486 Extrapolation       0 22.630665 18.3608538
## 841         BE3 0.04497226    1   Rarefaction       0  1.000000  0.9783439
## 842         BE3 0.48867636   17   Rarefaction       0 12.399452 11.0769724
## 843         BE3 0.67624361   33   Rarefaction       0 18.989246 17.1134934
## 844         BE3 0.77350764   49   Rarefaction       0 23.367749 21.1030884
## 845         BE3 0.83240496   65   Rarefaction       0 26.515116 23.9427376
## 846         BE3 0.87322655   82   Rarefaction       0 29.013963 26.1668148
## 847         BE3 0.89936903   98   Rarefaction       0 30.833873 27.7548751
## 848         BE3 0.91784320  114   Rarefaction       0 32.297182 28.9974060
## 849         BE3 0.93118731  130   Rarefaction       0 33.506063 29.9842310
## 850         BE3 0.94158892  147   Rarefaction       0 34.588195 30.8201119
## 851         BE3 0.94897040  163   Rarefaction       0 35.464881 31.4586680
## 852         BE3 0.95475163  179   Rarefaction       0 36.236231 31.9941927
## 853         BE3 0.95940849  195   Rarefaction       0 36.924029 32.4471961
## 854         BE3 0.96325862  211   Rarefaction       0 37.543707 32.8251315
## 855         BE3 0.96670337  228   Rarefaction       0 38.139947 33.0526306
## 856         BE3 0.96948973  244   Rarefaction       0 38.651286 32.9934016
## 857         BE3 0.97193655  260   Rarefaction       0 39.120701 32.8161092
## 858         BE3 0.97411467  276   Rarefaction       0 39.553061 32.6077246
## 859         BE3 0.97619048  292   Rarefaction       0 39.958056 32.2985988
## 860         BE3 0.97630600  294      Observed       0 40.000000 32.3004192
## 861         BE3 0.97642096  295 Extrapolation       0 40.023694 32.2804937
## 862         BE3 0.97807997  310 Extrapolation       0 40.365616 31.9816820
## 863         BE3 0.97962226  325 Extrapolation       0 40.683480 31.6636447
## 864         BE3 0.98114794  341 Extrapolation       0 40.997924 31.3293595
## 865         BE3 0.98247436  356 Extrapolation       0 41.271299 31.0066626
## 866         BE3 0.98378651  372 Extrapolation       0 41.541733 30.6665701
## 867         BE3 0.98492728  387 Extrapolation       0 41.776846 30.3552110
## 868         BE3 0.98598779  402 Extrapolation       0 41.995417 30.0544886
## 869         BE3 0.98703689  418 Extrapolation       0 42.211636 29.7479394
## 870         BE3 0.98794897  433 Extrapolation       0 42.399615 29.4747364
## 871         BE3 0.98885123  449 Extrapolation       0 42.585572 29.1990825
## 872         BE3 0.98963565  464 Extrapolation       0 42.747241 28.9555982
## 873         BE3 0.99041163  480 Extrapolation       0 42.907170 28.7116146
## 874         BE3 0.99108626  495 Extrapolation       0 43.046212 28.4971633
## 875         BE3 0.99171343  510 Extrapolation       0 43.175471 28.2960610
## 876         BE3 0.99233385  526 Extrapolation       0 43.303339 28.0956379
## 877         BE3 0.99287323  541 Extrapolation       0 43.414507 27.9202851
## 878         BE3 0.99340682  557 Extrapolation       0 43.524478 27.7458238
## 879         BE3 0.99387071  572 Extrapolation       0 43.620086 27.5932551
## 880         BE3 0.99432961  588 Extrapolation       0 43.714666 27.4415285
## 881        BE30 0.13675934    1   Rarefaction       0  1.000017  0.8883934
## 882        BE30 0.69084723   15   Rarefaction       0  8.070299  6.7062679
## 883        BE30 0.81206004   30   Rarefaction       0 11.723176  9.7931154
## 884        BE30 0.86776595   45   Rarefaction       0 14.106033 11.5981659
## 885        BE30 0.89591355   59   Rarefaction       0 15.756408 12.6497546
## 886        BE30 0.91348925   74   Rarefaction       0 17.183197 13.3556464
## 887        BE30 0.92418871   89   Rarefaction       0 18.399835 13.7811952
## 888        BE30 0.93076970  103   Rarefaction       0 19.415609 14.0776995
## 889        BE30 0.93575362  118   Rarefaction       0 20.417180 14.3843582
## 890        BE30 0.93949814  133   Rarefaction       0 21.353510 14.6958395
## 891        BE30 0.94233593  147   Rarefaction       0 22.181531 14.9783716
## 892        BE30 0.94495353  162   Rarefaction       0 23.027748 15.2502265
## 893        BE30 0.94729956  177   Rarefaction       0 23.836757 15.4871408
## 894        BE30 0.94932979  191   Rarefaction       0 24.561220 15.6667396
## 895        BE30 0.95138528  206   Rarefaction       0 25.306752 15.8047342
## 896        BE30 0.95334522  221   Rarefaction       0 26.022146 15.8738224
## 897        BE30 0.95510129  235   Rarefaction       0 26.663822 15.9064130
## 898        BE30 0.95691039  250   Rarefaction       0 27.324547 15.9206419
## 899        BE30 0.95864662  264   Rarefaction       0 27.935277 15.8981209
## 900        BE30 0.95875980  266      Observed       0 28.000000 15.9212035
## 901        BE30 0.95887267  267 Extrapolation       0 28.041240 15.9162026
## 902        BE30 0.96031218  280 Extrapolation       0 28.567203 15.8907854
## 903        BE30 0.96180613  294 Extrapolation       0 29.113055 15.8483093
## 904        BE30 0.96324385  308 Extrapolation       0 29.638360 15.7930844
## 905        BE30 0.96462744  322 Extrapolation       0 30.143891 15.7294395
## 906        BE30 0.96595896  336 Extrapolation       0 30.630393 15.6618567
## 907        BE30 0.96724035  350 Extrapolation       0 31.098582 15.5913079
## 908        BE30 0.96847351  364 Extrapolation       0 31.549146 15.5078158
## 909        BE30 0.96966024  378 Extrapolation       0 31.982751 15.4165439
## 910        BE30 0.97080231  392 Extrapolation       0 32.400033 15.3195871
## 911        BE30 0.97190138  406 Extrapolation       0 32.801608 15.2128476
## 912        BE30 0.97295909  420 Extrapolation       0 33.188066 15.0988398
## 913        BE30 0.97397698  434 Extrapolation       0 33.559977 14.9797761
## 914        BE30 0.97495655  448 Extrapolation       0 33.917889 14.8567680
## 915        BE30 0.97589925  462 Extrapolation       0 34.262327 14.7315431
## 916        BE30 0.97680646  476 Extrapolation       0 34.593801 14.6064869
## 917        BE30 0.97767953  490 Extrapolation       0 34.912796 14.4877624
## 918        BE30 0.97851973  504 Extrapolation       0 35.219784 14.3718805
## 919        BE30 0.97932830  518 Extrapolation       0 35.515216 14.2544649
## 920        BE30 0.98010643  532 Extrapolation       0 35.799528 14.1362305
## 921         BE4 0.06215005    1   Rarefaction       0  1.000000  0.9773905
## 922         BE4 0.67668576   23   Rarefaction       0 13.387599 12.3600855
## 923         BE4 0.83245343   46   Rarefaction       0 18.785703 17.3696652
## 924         BE4 0.89425700   69   Rarefaction       0 21.872317 20.0477615
## 925         BE4 0.92632697   92   Rarefaction       0 23.916708 21.6977918
## 926         BE4 0.94533766  115   Rarefaction       0 25.384883 22.7972083
## 927         BE4 0.95755552  138   Rarefaction       0 26.498154 23.5548236
## 928         BE4 0.96584106  161   Rarefaction       0 27.377437 24.0576532
## 929         BE4 0.97167392  184   Rarefaction       0 28.095194 24.2867217
## 930         BE4 0.97589497  207   Rarefaction       0 28.697752 23.8920824
## 931         BE4 0.97901707  230   Rarefaction       0 29.216085 22.3366091
## 932         BE4 0.98136906  253   Rarefaction       0 29.671586 20.7797457
## 933         BE4 0.98316847  276   Rarefaction       0 30.079406 19.5683990
## 934         BE4 0.98456145  299   Rarefaction       0 30.450540 18.6627223
## 935         BE4 0.98564665  322   Rarefaction       0 30.793173 18.0175273
## 936         BE4 0.98649055  345   Rarefaction       0 31.113604 17.5627380
## 937         BE4 0.98713778  368   Rarefaction       0 31.416859 17.2694859
## 938         BE4 0.98761825  391   Rarefaction       0 31.707107 17.1190599
## 939         BE4 0.98795181  413   Rarefaction       0 31.977116 17.0917989
## 940         BE4 0.98796344  415      Observed       0 32.000000 17.1036986
## 941         BE4 0.98797506  416 Extrapolation       0 32.012037 17.1057178
## 942         BE4 0.98821647  437 Extrapolation       0 32.262138 17.1354348
## 943         BE4 0.98846418  459 Extrapolation       0 32.518765 17.1646575
## 944         BE4 0.98870668  481 Extrapolation       0 32.769997 17.1929711
## 945         BE4 0.98894408  503 Extrapolation       0 33.015949 17.2205447
## 946         BE4 0.98916604  524 Extrapolation       0 33.245895 17.2463378
## 947         BE4 0.98939379  546 Extrapolation       0 33.481842 17.2729967
## 948         BE4 0.98961675  568 Extrapolation       0 33.712829 17.2995181
## 949         BE4 0.98983502  590 Extrapolation       0 33.938960 17.3262188
## 950         BE4 0.99004871  612 Extrapolation       0 34.160338 17.3536227
## 951         BE4 0.99024849  633 Extrapolation       0 34.367310 17.3816793
## 952         BE4 0.99045348  655 Extrapolation       0 34.579683 17.4162511
## 953         BE4 0.99065416  677 Extrapolation       0 34.787592 17.4428238
## 954         BE4 0.99085063  699 Extrapolation       0 34.991130 17.4684722
## 955         BE4 0.99104296  721 Extrapolation       0 35.190389 17.4932712
## 956         BE4 0.99122278  742 Extrapolation       0 35.376682 17.5162191
## 957         BE4 0.99140729  764 Extrapolation       0 35.567836 17.5395723
## 958         BE4 0.99158793  786 Extrapolation       0 35.754972 17.5622984
## 959         BE4 0.99176476  808 Extrapolation       0 35.938174 17.5844758
## 960         BE4 0.99193788  830 Extrapolation       0 36.117525 17.6061921
## 961         BE5 0.35176229    1   Rarefaction       0  1.000010  0.8757190
## 962         BE5 0.70561256   11   Rarefaction       0  4.931668  3.2997481
## 963         BE5 0.78940782   22   Rarefaction       0  7.721932  6.0678498
## 964         BE5 0.84680118   33   Rarefaction       0  9.731950  7.9925022
## 965         BE5 0.88639406   44   Rarefaction       0 11.206001  9.3659059
## 966         BE5 0.91396158   55   Rarefaction       0 12.308908 10.3611528
## 967         BE5 0.93336106   66   Rarefaction       0 13.152247 11.0845240
## 968         BE5 0.94715820   77   Rarefaction       0 13.812090 11.6063443
## 969         BE5 0.95706396   88   Rarefaction       0 14.340881 11.9713761
## 970         BE5 0.96423172   99   Rarefaction       0 14.775257 12.2013833
## 971         BE5 0.96945379  110   Rarefaction       0 15.141114 12.2682969
## 972         BE5 0.97328841  121   Rarefaction       0 15.456892 12.1793176
## 973         BE5 0.97613936  132   Rarefaction       0 15.735721 12.0580126
## 974         BE5 0.97830520  143   Rarefaction       0 15.986848 11.9643468
## 975         BE5 0.98000924  154   Rarefaction       0 16.216635 11.9166749
## 976         BE5 0.98141829  165   Rarefaction       0 16.429282 11.8554007
## 977         BE5 0.98265471  176   Rarefaction       0 16.627386 11.8050026
## 978         BE5 0.98380479  187   Rarefaction       0 16.812386 11.7569084
## 979         BE5 0.98492462  197   Rarefaction       0 16.974141 11.7489655
## 980         BE5 0.98502546  199      Observed       0 17.000000 11.7590669
## 981         BE5 0.98512563  200 Extrapolation       0 17.014975 11.7529252
## 982         BE5 0.98609115  210 Extrapolation       0 17.159320 11.6968735
## 983         BE5 0.98699399  220 Extrapolation       0 17.294296 11.6424915
## 984         BE5 0.98791959  231 Extrapolation       0 17.432672 11.5863062
## 985         BE5 0.98870375  241 Extrapolation       0 17.549904 11.5401034
## 986         BE5 0.98950766  252 Extrapolation       0 17.670089 11.4984136
## 987         BE5 0.99018874  262 Extrapolation       0 17.771910 11.4814874
## 988         BE5 0.99082560  272 Extrapolation       0 17.867121 11.4380278
## 989         BE5 0.99147851  283 Extrapolation       0 17.964731 11.3918517
## 990         BE5 0.99203166  293 Extrapolation       0 18.047426 11.3515091
## 991         BE5 0.99259874  304 Extrapolation       0 18.132205 11.3090351
## 992         BE5 0.99307917  314 Extrapolation       0 18.204029 11.2721978
## 993         BE5 0.99357170  325 Extrapolation       0 18.277662 11.2336525
## 994         BE5 0.99398897  335 Extrapolation       0 18.340044 11.2004039
## 995         BE5 0.99437916  345 Extrapolation       0 18.398377 11.1688487
## 996         BE5 0.99477917  356 Extrapolation       0 18.458180 11.1360009
## 997         BE5 0.99511806  366 Extrapolation       0 18.508844 11.1074300
## 998         BE5 0.99546549  377 Extrapolation       0 18.560785 11.0789393
## 999         BE5 0.99575984  387 Extrapolation       0 18.604789 11.0540950
## 1000        BE5 0.99606159  398 Extrapolation       0 18.649902 11.0284154
## 1001        BE6 0.16285967    1   Rarefaction       0  1.000012  0.8078982
## 1002        BE6 0.62516067   12   Rarefaction       0  6.975708  5.3144259
## 1003        BE6 0.74446801   23   Rarefaction       0 10.431181  8.1705837
## 1004        BE6 0.81486411   35   Rarefaction       0 13.070097 10.2540014
## 1005        BE6 0.85340244   46   Rarefaction       0 14.898257 11.6435259
## 1006        BE6 0.88068502   58   Rarefaction       0 16.496120 12.8039592
## 1007        BE6 0.89790083   69   Rarefaction       0 17.717361 13.6288575
## 1008        BE6 0.91153340   81   Rarefaction       0 18.863366 14.3270496
## 1009        BE6 0.92098748   92   Rarefaction       0 19.787110 14.8194230
## 1010        BE6 0.92910660  104   Rarefaction       0 20.688741 15.2456773
## 1011        BE6 0.93515474  115   Rarefaction       0 21.437317 15.5799992
## 1012        BE6 0.94024272  126   Rarefaction       0 22.124425 15.8788168
## 1013        BE6 0.94496635  138   Rarefaction       0 22.814778 16.1692588
## 1014        BE6 0.94869527  149   Rarefaction       0 23.401035 16.4080114
## 1015        BE6 0.95221972  161   Rarefaction       0 23.996785 16.6563161
## 1016        BE6 0.95501692  172   Rarefaction       0 24.508026 16.8738925
## 1017        BE6 0.95764300  184   Rarefaction       0 25.032957 17.1161213
## 1018        BE6 0.95968731  195   Rarefaction       0 25.488356 17.3498159
## 1019        BE6 0.96153846  207   Rarefaction       0 25.960598 17.6308813
## 1020        BE6 0.96167731  208      Observed       0 26.000000 17.6577039
## 1021        BE6 0.96181566  209 Extrapolation       0 26.038323 17.6810682
## 1022        BE6 0.96317198  219 Extrapolation       0 26.414022 17.9224711
## 1023        BE6 0.96460835  230 Extrapolation       0 26.811897 18.1770319
## 1024        BE6 0.96598870  241 Extrapolation       0 27.194253 18.4273328
## 1025        BE6 0.96731521  252 Extrapolation       0 27.561697 18.6783101
## 1026        BE6 0.96858998  263 Extrapolation       0 27.914810 18.9046322
## 1027        BE6 0.96981504  274 Extrapolation       0 28.254150 19.1144486
## 1028        BE6 0.97099232  285 Extrapolation       0 28.580256 19.3125111
## 1029        BE6 0.97212368  296 Extrapolation       0 28.893643 19.5012535
## 1030        BE6 0.97321091  307 Extrapolation       0 29.194807 19.6725458
## 1031        BE6 0.97416246  317 Extrapolation       0 29.458387 19.8151799
## 1032        BE6 0.97517018  328 Extrapolation       0 29.737525 19.9599823
## 1033        BE6 0.97613860  339 Extrapolation       0 30.005776 20.0919544
## 1034        BE6 0.97706924  350 Extrapolation       0 30.263565 20.2178240
## 1035        BE6 0.97796359  361 Extrapolation       0 30.511299 20.3297109
## 1036        BE6 0.97882306  372 Extrapolation       0 30.749371 20.4314131
## 1037        BE6 0.97964900  383 Extrapolation       0 30.978158 20.5239843
## 1038        BE6 0.98044273  394 Extrapolation       0 31.198021 20.6083606
## 1039        BE6 0.98120551  405 Extrapolation       0 31.409310 20.6853679
## 1040        BE6 0.98193853  416 Extrapolation       0 31.612358 20.7556941
## 1041        BE7 0.28952439    1   Rarefaction       0  1.000012  0.9510782
## 1042        BE7 0.83973677   30   Rarefaction       0  9.448939  8.2002203
## 1043        BE7 0.90966916   60   Rarefaction       0 13.036943 11.1298567
## 1044        BE7 0.93536280   90   Rarefaction       0 15.324703 12.8434397
## 1045        BE7 0.94870255  120   Rarefaction       0 17.052653 14.0149600
## 1046        BE7 0.95704294  150   Rarefaction       0 18.462130 14.8368372
## 1047        BE7 0.96277406  180   Rarefaction       0 19.662845 15.4571173
## 1048        BE7 0.96693917  210   Rarefaction       0 20.716161 16.0013836
## 1049        BE7 0.97010412  240   Rarefaction       0 21.660100 16.5139477
## 1050        BE7 0.97261278  270   Rarefaction       0 22.519277 17.0006613
## 1051        BE7 0.97461947  299   Rarefaction       0 23.284602 17.4380832
## 1052        BE7 0.97639921  329   Rarefaction       0 24.019588 17.8328600
## 1053        BE7 0.97796738  359   Rarefaction       0 24.704430 18.1568053
## 1054        BE7 0.97938288  389   Rarefaction       0 25.344558 18.4419854
## 1055        BE7 0.98068457  419   Rarefaction       0 25.943951 18.6968985
## 1056        BE7 0.98189892  449   Rarefaction       0 26.505614 18.9221502
## 1057        BE7 0.98304485  479   Rarefaction       0 27.031879 19.1102836
## 1058        BE7 0.98413657  509   Rarefaction       0 27.524583 19.2393090
## 1059        BE7 0.98518519  539   Rarefaction       0 27.984049 19.3180054
## 1060        BE7 0.98521946  540      Observed       0 28.000000 19.3203987
## 1061        BE7 0.98525366  541 Extrapolation       0 28.014781 19.3208054
## 1062        BE7 0.98617975  569 Extrapolation       0 28.415036 19.3225873
## 1063        BE7 0.98704768  597 Extrapolation       0 28.790155 19.2842332
## 1064        BE7 0.98788919  626 Extrapolation       0 29.153854 19.2107739
## 1065        BE7 0.98864976  654 Extrapolation       0 29.482575 19.1143329
## 1066        BE7 0.98936257  682 Extrapolation       0 29.790651 19.0104840
## 1067        BE7 0.99005368  711 Extrapolation       0 30.089348 18.8882807
## 1068        BE7 0.99067832  739 Extrapolation       0 30.359318 18.7630353
## 1069        BE7 0.99126373  767 Extrapolation       0 30.612334 18.6347734
## 1070        BE7 0.99183133  796 Extrapolation       0 30.857647 18.5004545
## 1071        BE7 0.99234433  824 Extrapolation       0 31.079367 18.3754332
## 1072        BE7 0.99284172  853 Extrapolation       0 31.294337 18.2553607
## 1073        BE7 0.99329126  881 Extrapolation       0 31.488633 18.1385574
## 1074        BE7 0.99371258  909 Extrapolation       0 31.670726 18.0210974
## 1075        BE7 0.99412107  938 Extrapolation       0 31.847276 17.9009694
## 1076        BE7 0.99449028  966 Extrapolation       0 32.006846 17.7898270
## 1077        BE7 0.99483629  994 Extrapolation       0 32.156394 17.6836948
## 1078        BE7 0.99517178 1023 Extrapolation       0 32.301391 17.5764245
## 1079        BE7 0.99547500 1051 Extrapolation       0 32.432442 17.4759535
## 1080        BE7 0.99576898 1080 Extrapolation       0 32.559503 17.3755016
## 1081        BE8 0.13857829    1   Rarefaction       0  1.000001  0.8594990
## 1082        BE8 0.60221071   13   Rarefaction       0  7.833930  6.4316961
## 1083        BE8 0.73498327   25   Rarefaction       0 11.798526 10.1157442
## 1084        BE8 0.81267269   37   Rarefaction       0 14.514180 12.6798816
## 1085        BE8 0.86197643   49   Rarefaction       0 16.470223 14.5235646
## 1086        BE8 0.89495371   61   Rarefaction       0 17.932719 15.8915803
## 1087        BE8 0.91789047   73   Rarefaction       0 19.059252 16.9425212
## 1088        BE8 0.93433021   85   Rarefaction       0 19.948933 17.7759907
## 1089        BE8 0.94640008   97   Rarefaction       0 20.667020 18.4421986
## 1090        BE8 0.95544358  109   Rarefaction       0 21.257979 18.9402914
## 1091        BE8 0.96234670  121   Rarefaction       0 21.752903 19.2178122
## 1092        BE8 0.96771483  133   Rarefaction       0 22.173932 19.2713999
## 1093        BE8 0.97197212  145   Rarefaction       0 22.537003 19.0861372
## 1094        BE8 0.97541998  157   Rarefaction       0 22.853691 18.8310596
## 1095        BE8 0.97827310  169   Rarefaction       0 23.132453 18.5328958
## 1096        BE8 0.98068353  181   Rarefaction       0 23.379539 18.2220985
## 1097        BE8 0.98275793  193   Rarefaction       0 23.599635 17.9386000
## 1098        BE8 0.98457089  205   Rarefaction       0 23.796339 17.6708882
## 1099        BE8 0.98630137  218   Rarefaction       0 23.982210 17.4106474
## 1100        BE8 0.98642590  219      Observed       0 24.000000 17.3975828
## 1101        BE8 0.98654930  220 Extrapolation       0 24.013574 17.3796679
## 1102        BE8 0.98783487  231 Extrapolation       0 24.154987 17.1835506
## 1103        BE8 0.98899757  242 Extrapolation       0 24.282883 16.9987208
## 1104        BE8 0.99013960  254 Extrapolation       0 24.408507 16.8115802
## 1105        BE8 0.99108202  265 Extrapolation       0 24.512173 16.6557469
## 1106        BE8 0.99200769  277 Extrapolation       0 24.613997 16.4976987
## 1107        BE8 0.99277157  288 Extrapolation       0 24.698023 16.3647747
## 1108        BE8 0.99352187  300 Extrapolation       0 24.780556 16.2322381
## 1109        BE8 0.99414102  311 Extrapolation       0 24.848663 16.1214704
## 1110        BE8 0.99474918  323 Extrapolation       0 24.915560 16.0115031
## 1111        BE8 0.99525103  334 Extrapolation       0 24.970764 15.9199238
## 1112        BE8 0.99574397  346 Extrapolation       0 25.024987 15.8292874
## 1113        BE8 0.99615074  357 Extrapolation       0 25.069732 15.7540253
## 1114        BE8 0.99655029  369 Extrapolation       0 25.113682 15.6796987
## 1115        BE8 0.99688000  380 Extrapolation       0 25.149951 15.6180727
## 1116        BE8 0.99720385  392 Extrapolation       0 25.185574 15.5572879
## 1117        BE8 0.99747110  403 Extrapolation       0 25.214971 15.5069430
## 1118        BE8 0.99773359  415 Extrapolation       0 25.243846 15.4573316
## 1119        BE8 0.99795021  426 Extrapolation       0 25.267673 15.4162712
## 1120        BE8 0.99816297  438 Extrapolation       0 25.291078 15.3758353
## 1121        BE9 0.06994467    1   Rarefaction       0  1.000000  0.9625662
## 1122        BE9 0.61280390   18   Rarefaction       0 11.347823 10.1674523
## 1123        BE9 0.77559174   35   Rarefaction       0 16.420867 14.5043326
## 1124        BE9 0.84858099   52   Rarefaction       0 19.580956 17.0872480
## 1125        BE9 0.88763739   69   Rarefaction       0 21.812286 18.8148372
## 1126        BE9 0.91132824   86   Rarefaction       0 23.518079 20.0483242
## 1127        BE9 0.92712485  103   Rarefaction       0 24.890987 20.9364184
## 1128        BE9 0.93838890  120   Rarefaction       0 26.034800 21.5452941
## 1129        BE9 0.94677883  137   Rarefaction       0 27.011773 21.9039445
## 1130        BE9 0.95352031  155   Rarefaction       0 27.909686 21.9831158
## 1131        BE9 0.95842169  172   Rarefaction       0 28.658911 21.9751562
## 1132        BE9 0.96225640  189   Rarefaction       0 29.333756 21.9928783
## 1133        BE9 0.96527460  206   Rarefaction       0 29.950244 22.0478873
## 1134        BE9 0.96766469  223   Rarefaction       0 30.520681 22.1173819
## 1135        BE9 0.96957087  240   Rarefaction       0 31.054533 22.1027143
## 1136        BE9 0.97110286  257   Rarefaction       0 31.559108 22.1872283
## 1137        BE9 0.97234201  274   Rarefaction       0 32.040079 22.2445904
## 1138        BE9 0.97334585  291   Rarefaction       0 32.501934 22.3143906
## 1139        BE9 0.97419355  309   Rarefaction       0 32.970210 22.4206823
## 1140        BE9 0.97423524  310      Observed       0 33.000000 22.4325409
## 1141        BE9 0.97427686  311 Extrapolation       0 33.025765 22.4408247
## 1142        BE9 0.97493376  327 Extrapolation       0 33.432386 22.5497269
## 1143        BE9 0.97557389  343 Extrapolation       0 33.828623 22.6427600
## 1144        BE9 0.97619766  359 Extrapolation       0 34.214741 22.7228666
## 1145        BE9 0.97684298  376 Extrapolation       0 34.614193 22.7966143
## 1146        BE9 0.97743435  392 Extrapolation       0 34.980249 22.8552880
## 1147        BE9 0.97801062  408 Extrapolation       0 35.336958 22.9119631
## 1148        BE9 0.97857217  424 Extrapolation       0 35.684557 22.9571572
## 1149        BE9 0.97915311  441 Extrapolation       0 36.044160 22.9971620
## 1150        BE9 0.97968548  457 Extrapolation       0 36.373700 23.0284666
## 1151        BE9 0.98020426  473 Extrapolation       0 36.694823 23.0547007
## 1152        BE9 0.98070979  489 Extrapolation       0 37.007746 23.0732881
## 1153        BE9 0.98123278  506 Extrapolation       0 37.331476 23.0953177
## 1154        BE9 0.98171204  522 Extrapolation       0 37.628140 23.1077349
## 1155        BE9 0.98217907  538 Extrapolation       0 37.917229 23.1159329
## 1156        BE9 0.98263416  554 Extrapolation       0 38.198935 23.1204053
## 1157        BE9 0.98310498  571 Extrapolation       0 38.490369 23.1215641
## 1158        BE9 0.98353643  587 Extrapolation       0 38.757439 23.1196773
## 1159        BE9 0.98395687  603 Extrapolation       0 39.017688 23.1124582
## 1160        BE9 0.98439182  620 Extrapolation       0 39.286925 23.1081839
##         qD.UCL
## 1     1.096843
## 2     6.308422
## 3     8.625152
## 4    10.017086
## 5    11.125120
## 6    12.023741
## 7    12.751005
## 8    13.454610
## 9    14.066033
## 10   14.699303
## 11   15.349606
## 12   15.992299
## 13   16.686564
## 14   17.376034
## 15   18.040442
## 16   18.676841
## 17   19.277094
## 18   19.896237
## 19   20.502673
## 20   20.554790
## 21   20.595186
## 22   21.103857
## 23   21.616024
## 24   22.087390
## 25   22.509349
## 26   22.921824
## 27   23.306656
## 28   23.664566
## 29   23.996902
## 30   24.304971
## 31   24.571537
## 32   24.839292
## 33   25.088157
## 34   25.319289
## 35   25.533814
## 36   25.732817
## 37   25.917334
## 38   26.088353
## 39   26.246794
## 40   26.393508
## 41    1.117611
## 42   13.421245
## 43   18.838233
## 44   22.431123
## 45   24.921405
## 46   26.849457
## 47   28.470186
## 48   29.793165
## 49   31.068707
## 50   32.465342
## 51   34.697908
## 52   36.848664
## 53   38.749581
## 54   40.486840
## 55   41.920282
## 56   43.141030
## 57   44.233348
## 58   45.150001
## 59   46.004564
## 60   46.049810
## 61   46.084273
## 62   46.834677
## 63   47.563201
## 64   48.269618
## 65   48.953825
## 66   49.644977
## 67   50.282908
## 68   50.901385
## 69   51.500624
## 70   52.080885
## 71   52.667498
## 72   53.209630
## 73   53.733430
## 74   54.240235
## 75   54.730632
## 76   55.226239
## 77   55.684407
## 78   56.127476
## 79   56.555873
## 80   56.988515
## 81    1.093035
## 82    8.373303
## 83   12.231143
## 84   14.490060
## 85   16.232728
## 86   17.443019
## 87   18.503268
## 88   19.320564
## 89   20.093449
## 90   20.712366
## 91   21.297710
## 92   21.757699
## 93   22.182667
## 94   22.511637
## 95   22.864590
## 96   23.151460
## 97   23.440948
## 98   23.694107
## 99   23.944335
## 100  23.966373
## 101  23.987665
## 102  24.192730
## 103  24.398040
## 104  24.581414
## 105  24.743325
## 106  24.884699
## 107  25.007905
## 108  25.114879
## 109  25.207483
## 110  25.287461
## 111  25.356406
## 112  25.415753
## 113  25.466772
## 114  25.510594
## 115  25.548197
## 116  25.580444
## 117  25.608082
## 118  25.631757
## 119  25.652026
## 120  25.669382
## 121   1.051616
## 122  14.100294
## 123  20.664153
## 124  25.136509
## 125  28.262105
## 126  30.787733
## 127  33.055279
## 128  34.952162
## 129  36.767687
## 130  38.359775
## 131  39.864391
## 132  41.390497
## 133  42.804878
## 134  44.298931
## 135  45.763587
## 136  47.259747
## 137  48.809566
## 138  50.227337
## 139  51.648095
## 140  51.738004
## 141  51.811688
## 142  53.037302
## 143  54.211725
## 144  55.401463
## 145  56.474058
## 146  57.554747
## 147  58.522043
## 148  59.484915
## 149  60.351676
## 150  61.227245
## 151  62.015306
## 152  62.809636
## 153  63.523346
## 154  64.241779
## 155  64.886321
## 156  65.534233
## 157  66.114858
## 158  66.697942
## 159  67.220021
## 160  67.743923
## 161   1.060451
## 162  14.818612
## 163  22.228710
## 164  27.094038
## 165  30.602324
## 166  33.630051
## 167  36.206350
## 168  38.346339
## 169  40.350385
## 170  42.157823
## 171  43.732744
## 172  45.270185
## 173  46.705406
## 174  47.989916
## 175  49.275466
## 176  50.517961
## 177  51.715802
## 178  52.998039
## 179  54.255867
## 180  54.346950
## 181  54.411074
## 182  55.543893
## 183  56.694953
## 184  57.891581
## 185  59.044518
## 186  60.258020
## 187  61.472483
## 188  62.611750
## 189  63.791383
## 190  64.939580
## 191  65.995805
## 192  67.073928
## 193  68.111882
## 194  69.057081
## 195  70.014259
## 196  70.930119
## 197  71.760156
## 198  72.597547
## 199  73.395922
## 200  74.156576
## 201   1.027584
## 202   9.006705
## 203  15.491470
## 204  19.927363
## 205  23.928066
## 206  27.200746
## 207  29.674862
## 208  32.099990
## 209  34.013359
## 210  35.956645
## 211  37.728751
## 212  39.191980
## 213  40.737766
## 214  42.037221
## 215  43.433585
## 216  44.817840
## 217  46.074547
## 218  47.471005
## 219  48.773139
## 220  48.946116
## 221  49.088939
## 222  50.206748
## 223  51.276421
## 224  52.293818
## 225  53.263952
## 226  54.302817
## 227  55.186359
## 228  56.032828
## 229  56.842267
## 230  57.615128
## 231  58.441698
## 232  59.142037
## 233  59.803439
## 234  60.435234
## 235  61.035846
## 236  61.675788
## 237  62.214229
## 238  62.730683
## 239  63.210164
## 240  63.725763
## 241   1.096937
## 242  11.248460
## 243  15.494242
## 244  18.187537
## 245  20.095830
## 246  21.605840
## 247  22.731072
## 248  23.652353
## 249  24.432549
## 250  25.143591
## 251  25.755161
## 252  26.492192
## 253  27.271467
## 254  28.012820
## 255  28.752429
## 256  29.381320
## 257  29.949928
## 258  30.478717
## 259  30.981748
## 260  31.010996
## 261  31.035784
## 262  31.462465
## 263  31.853810
## 264  32.209639
## 265  32.539505
## 266  32.835124
## 267  33.104348
## 268  33.349141
## 269  33.583144
## 270  33.783598
## 271  33.964997
## 272  34.128694
## 273  34.284575
## 274  34.417786
## 275  34.538237
## 276  34.647113
## 277  34.750675
## 278  34.839053
## 279  34.918876
## 280  34.994749
## 281   1.054439
## 282  10.716935
## 283  16.837210
## 284  20.507542
## 285  23.349455
## 286  25.305190
## 287  26.986371
## 288  28.244421
## 289  29.395691
## 290  30.290556
## 291  31.120379
## 292  31.771698
## 293  32.397710
## 294  32.945856
## 295  33.507848
## 296  34.059129
## 297  34.673260
## 298  35.228058
## 299  35.787275
## 300  35.831399
## 301  35.871230
## 302  36.175829
## 303  36.367824
## 304  36.473018
## 305  36.530219
## 306  36.561214
## 307  36.577968
## 308  36.587023
## 309  36.591911
## 310  36.594550
## 311  36.595974
## 312  36.596742
## 313  36.597157
## 314  36.597380
## 315  36.597501
## 316  36.597566
## 317  36.597601
## 318  36.597620
## 319  36.597631
## 320  36.597636
## 321   1.110047
## 322  14.065598
## 323  21.066509
## 324  26.408954
## 325  30.488864
## 326  34.116742
## 327  37.114857
## 328  39.888447
## 329  42.259391
## 330  44.544916
## 331  46.592178
## 332  48.567525
## 333  50.537320
## 334  52.332745
## 335  54.619016
## 336  57.081635
## 337  59.622940
## 338  61.888804
## 339  64.047595
## 340  64.187859
## 341  64.288532
## 342  66.178455
## 343  68.023138
## 344  69.916693
## 345  71.675510
## 346  73.475431
## 347  75.140448
## 348  76.760284
## 349  78.420610
## 350  79.955175
## 351  81.526736
## 352  82.978402
## 353  84.463337
## 354  85.834055
## 355  87.166369
## 356  88.527957
## 357  89.783302
## 358  91.065333
## 359  92.246626
## 360  93.452389
## 361   1.105758
## 362  13.239002
## 363  19.585104
## 364  23.968845
## 365  27.221998
## 366  29.746029
## 367  31.762255
## 368  33.404333
## 369  34.764865
## 370  35.915266
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## 373  38.765246
## 374  39.679775
## 375  40.543094
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## 377  42.173260
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## 382  43.826955
## 383  44.237183
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## 385  44.990721
## 386  45.333993
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## 388  45.956250
## 389  46.236950
## 390  46.498661
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## 400  48.301238
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## 403  19.169065
## 404  22.138080
## 405  24.254901
## 406  25.912207
## 407  27.288114
## 408  28.472352
## 409  29.515407
## 410  30.451293
## 411  31.305525
## 412  32.099330
## 413  32.854981
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## 415  34.469461
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## 417  36.636214
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## 420  39.012807
## 421  39.061175
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## 423  41.068691
## 424  41.966589
## 425  42.787170
## 426  43.504975
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## 428  44.814130
## 429  45.379131
## 430  45.890100
## 431  46.332423
## 432  46.750545
## 433  47.127863
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## 437  48.289304
## 438  48.511494
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## 441   1.188219
## 442   6.868936
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## 444  12.514985
## 445  14.582433
## 446  16.394709
## 447  18.448484
## 448  21.828752
## 449  26.076332
## 450  30.213754
## 451  33.674264
## 452  36.526243
## 453  39.131340
## 454  41.012539
## 455  42.557171
## 456  43.826233
## 457  44.873050
## 458  45.743078
## 459  46.539441
## 460  46.648287
## 461  46.728347
## 462  47.306077
## 463  47.958928
## 464  48.601685
## 465  49.234320
## 466  49.779523
## 467  50.392951
## 468  50.995864
## 469  51.587875
## 470  52.168193
## 471  52.665437
## 472  53.220465
## 473  53.768269
## 474  54.308229
## 475  54.840416
## 476  55.299757
## 477  55.817552
## 478  56.327774
## 479  56.830481
## 480  57.325746
## 481   1.086252
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## 483  20.897498
## 484  24.797997
## 485  27.400159
## 486  29.469457
## 487  31.110700
## 488  32.410165
## 489  33.591336
## 490  34.665336
## 491  35.670406
## 492  36.679466
## 493  37.597717
## 494  38.596834
## 495  39.656656
## 496  40.663493
## 497  41.517812
## 498  42.292109
## 499  42.937572
## 500  42.972606
## 501  43.000027
## 502  43.526886
## 503  44.063754
## 504  44.555994
## 505  45.055233
## 506  45.534989
## 507  45.973498
## 508  46.419109
## 509  46.848591
## 510  47.241916
## 511  47.640791
## 512  48.005629
## 513  48.375312
## 514  48.730258
## 515  49.054888
## 516  49.383621
## 517  49.699468
## 518  49.987986
## 519  50.279960
## 520  50.560326
## 521   1.124047
## 522   8.974644
## 523  13.135428
## 524  15.869187
## 525  17.846039
## 526  19.256998
## 527  20.493932
## 528  21.527602
## 529  22.424043
## 530  23.228210
## 531  23.918120
## 532  24.642005
## 533  25.377814
## 534  26.121728
## 535  26.820365
## 536  27.511974
## 537  28.096029
## 538  28.597988
## 539  28.990488
## 540  29.020746
## 541  29.047633
## 542  29.367590
## 543  29.669771
## 544  29.954517
## 545  30.222216
## 546  30.473310
## 547  30.708710
## 548  30.946978
## 549  31.153415
## 550  31.347268
## 551  31.529180
## 552  31.699783
## 553  31.859691
## 554  32.021538
## 555  32.161012
## 556  32.291441
## 557  32.413776
## 558  32.527223
## 559  32.633792
## 560  32.741464
## 561   1.109011
## 562   8.317907
## 563  11.818543
## 564  14.112170
## 565  15.807910
## 566  17.270611
## 567  18.419077
## 568  19.462227
## 569  20.462032
## 570  21.573247
## 571  22.758224
## 572  24.294167
## 573  25.871482
## 574  27.234497
## 575  28.418984
## 576  29.280245
## 577  29.933624
## 578  30.397483
## 579  30.700924
## 580  30.752941
## 581  30.789795
## 582  31.191220
## 583  31.619003
## 584  31.999532
## 585  32.402106
## 586  32.791725
## 587  33.137599
## 588  33.502671
## 589  33.855359
## 590  34.167193
## 591  34.497332
## 592  34.790542
## 593  35.100400
## 594  35.400083
## 595  35.666099
## 596  35.947082
## 597  36.218715
## 598  36.459737
## 599  36.714220
## 600  36.960161
## 601   1.131518
## 602   8.198557
## 603  11.624336
## 604  13.930891
## 605  15.599743
## 606  16.928264
## 607  17.915794
## 608  18.730622
## 609  19.420445
## 610  20.047116
## 611  20.568638
## 612  21.067693
## 613  21.668998
## 614  22.370715
## 615  23.141784
## 616  23.853221
## 617  24.487381
## 618  25.061258
## 619  25.589754
## 620  25.620976
## 621  25.647813
## 622  26.051545
## 623  26.402369
## 624  26.723828
## 625  26.983630
## 626  27.207774
## 627  27.413701
## 628  27.579911
## 629  27.723022
## 630  27.853266
## 631  27.958185
## 632  28.053576
## 633  28.130356
## 634  28.196317
## 635  28.256234
## 636  28.304422
## 637  28.345793
## 638  28.383352
## 639  28.413545
## 640  28.440948
## 641   1.130770
## 642   9.961519
## 643  14.599881
## 644  17.800589
## 645  20.200378
## 646  22.112552
## 647  23.708500
## 648  25.089885
## 649  26.323891
## 650  27.460984
## 651  28.533525
## 652  29.547493
## 653  30.510546
## 654  31.462620
## 655  32.460944
## 656  33.499173
## 657  34.686468
## 658  36.048106
## 659  37.604855
## 660  37.719839
## 661  37.832393
## 662  39.145118
## 663  40.363962
## 664  41.589788
## 665  42.633409
## 666  43.670085
## 667  44.541762
## 668  45.338875
## 669  46.124577
## 670  46.778655
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## 672  47.959968
## 673  48.486510
## 674  48.925500
## 675  49.323404
## 676  49.712371
## 677  50.036185
## 678  50.352503
## 679  50.615682
## 680  50.872643
## 681   1.138462
## 682   9.763873
## 683  14.030421
## 684  16.896120
## 685  19.048378
## 686  20.764861
## 687  22.183924
## 688  23.320554
## 689  24.363045
## 690  25.269468
## 691  26.071121
## 692  26.797202
## 693  27.478037
## 694  28.125423
## 695  28.940035
## 696  29.809478
## 697  30.678607
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## 699  32.467280
## 700  32.531099
## 701  32.585454
## 702  33.423110
## 703  34.211299
## 704  34.938515
## 705  35.608900
## 706  36.219772
## 707  36.776892
## 708  37.285070
## 709  37.747576
## 710  38.167745
## 711  38.548509
## 712  38.893130
## 713  39.204785
## 714  39.486445
## 715  39.740861
## 716  39.970571
## 717  40.177870
## 718  40.364874
## 719  40.533525
## 720  40.685594
## 721   1.089154
## 722  12.248256
## 723  17.984837
## 724  22.087106
## 725  25.376848
## 726  28.328616
## 727  30.795077
## 728  33.058519
## 729  35.182894
## 730  37.321398
## 731  39.266992
## 732  41.198299
## 733  43.356165
## 734  46.053426
## 735  49.547086
## 736  52.818631
## 737  55.930509
## 738  58.810409
## 739  61.517856
## 740  61.702510
## 741  61.846320
## 742  64.112165
## 743  66.308043
## 744  68.563655
## 745  70.612835
## 746  72.584697
## 747  74.593961
## 748  76.398840
## 749  78.144231
## 750  79.939293
## 751  81.562247
## 752  83.230061
## 753  84.744376
## 754  86.202273
## 755  87.696704
## 756  89.051633
## 757  90.357841
## 758  91.693835
## 759  92.903912
## 760  94.140946
## 761   1.086145
## 762  11.014951
## 763  16.116522
## 764  19.439520
## 765  21.795570
## 766  23.848068
## 767  25.563224
## 768  27.021790
## 769  28.195380
## 770  29.289456
## 771  30.260340
## 772  31.122677
## 773  32.113114
## 774  33.134560
## 775  34.116287
## 776  35.035018
## 777  35.947983
## 778  36.767141
## 779  37.477649
## 780  37.536650
## 781  37.580702
## 782  38.199123
## 783  38.792437
## 784  39.359874
## 785  39.901678
## 786  40.420861
## 787  40.917920
## 788  41.393296
## 789  41.847501
## 790  42.281031
## 791  42.694548
## 792  43.088766
## 793  43.464407
## 794  43.822603
## 795  44.162823
## 796  44.486983
## 797  44.795388
## 798  45.088740
## 799  45.367712
## 800  45.632964
## 801   1.117376
## 802   9.489707
## 803  13.273790
## 804  15.947639
## 805  17.694233
## 806  18.999708
## 807  20.083924
## 808  20.884362
## 809  21.585249
## 810  22.123167
## 811  22.577466
## 812  22.992533
## 813  23.322063
## 814  23.638576
## 815  23.958925
## 816  24.277173
## 817  24.609449
## 818  24.909838
## 819  25.187803
## 820  25.210786
## 821  25.230985
## 822  25.458876
## 823  25.675581
## 824  25.862908
## 825  26.012355
## 826  26.152090
## 827  26.272804
## 828  26.376888
## 829  26.460021
## 830  26.537845
## 831  26.604604
## 832  26.661807
## 833  26.707274
## 834  26.749671
## 835  26.785918
## 836  26.816890
## 837  26.841452
## 838  26.864314
## 839  26.883827
## 840  26.900477
## 841   1.021656
## 842  13.721931
## 843  20.864999
## 844  25.632409
## 845  29.087493
## 846  31.861110
## 847  33.912871
## 848  35.596957
## 849  37.027894
## 850  38.356278
## 851  39.471094
## 852  40.478269
## 853  41.400861
## 854  42.262283
## 855  43.227263
## 856  44.309170
## 857  45.425293
## 858  46.498397
## 859  47.617512
## 860  47.699581
## 861  47.766894
## 862  48.749550
## 863  49.703316
## 864  50.666488
## 865  51.535936
## 866  52.416896
## 867  53.198482
## 868  53.936346
## 869  54.675332
## 870  55.324494
## 871  55.972061
## 872  56.538884
## 873  57.102726
## 874  57.595261
## 875  58.054882
## 876  58.511040
## 877  58.908728
## 878  59.303132
## 879  59.646918
## 880  59.987803
## 881   1.111640
## 882   9.434331
## 883  13.653237
## 884  16.613900
## 885  18.863062
## 886  21.010748
## 887  23.018474
## 888  24.753519
## 889  26.450001
## 890  28.011181
## 891  29.384690
## 892  30.805269
## 893  32.186373
## 894  33.455700
## 895  34.808770
## 896  36.170469
## 897  37.421231
## 898  38.728453
## 899  39.972433
## 900  40.078797
## 901  40.166278
## 902  41.243621
## 903  42.377801
## 904  43.483636
## 905  44.558344
## 906  45.598930
## 907  46.605855
## 908  47.590477
## 909  48.548957
## 910  49.480479
## 911  50.390368
## 912  51.277292
## 913  52.140178
## 914  52.979009
## 915  53.793112
## 916  54.581114
## 917  55.337830
## 918  56.067688
## 919  56.775968
## 920  57.462825
## 921   1.022610
## 922  14.415113
## 923  20.201742
## 924  23.696873
## 925  26.135624
## 926  27.972558
## 927  29.441485
## 928  30.697220
## 929  31.903666
## 930  33.503422
## 931  36.095562
## 932  38.563426
## 933  40.590413
## 934  42.238357
## 935  43.568818
## 936  44.664470
## 937  45.564232
## 938  46.295155
## 939  46.862432
## 940  46.896301
## 941  46.918355
## 942  47.388841
## 943  47.872872
## 944  48.347024
## 945  48.811352
## 946  49.245453
## 947  49.690688
## 948  50.126140
## 949  50.551702
## 950  50.967053
## 951  51.352941
## 952  51.743115
## 953  52.132360
## 954  52.513787
## 955  52.887507
## 956  53.237145
## 957  53.596100
## 958  53.947646
## 959  54.291872
## 960  54.628858
## 961   1.124301
## 962   6.563588
## 963   9.376015
## 964  11.471398
## 965  13.046096
## 966  14.256663
## 967  15.219970
## 968  16.017836
## 969  16.710386
## 970  17.349131
## 971  18.013930
## 972  18.734467
## 973  19.413430
## 974  20.009350
## 975  20.516596
## 976  21.003164
## 977  21.449770
## 978  21.867864
## 979  22.199317
## 980  22.240933
## 981  22.277024
## 982  22.621766
## 983  22.946100
## 984  23.279037
## 985  23.559704
## 986  23.841764
## 987  24.062332
## 988  24.296215
## 989  24.537611
## 990  24.743344
## 991  24.955374
## 992  25.135860
## 993  25.321672
## 994  25.479685
## 995  25.627906
## 996  25.780358
## 997  25.910258
## 998  26.042631
## 999  26.155483
## 1000 26.271388
## 1001  1.192127
## 1002  8.636990
## 1003 12.691777
## 1004 15.886192
## 1005 18.152988
## 1006 20.188281
## 1007 21.805864
## 1008 23.399683
## 1009 24.754798
## 1010 26.131805
## 1011 27.294636
## 1012 28.370033
## 1013 29.460297
## 1014 30.394059
## 1015 31.337254
## 1016 32.142160
## 1017 32.949793
## 1018 33.626897
## 1019 34.290314
## 1020 34.342296
## 1021 34.395577
## 1022 34.905573
## 1023 35.446761
## 1024 35.961174
## 1025 36.445084
## 1026 36.924987
## 1027 37.393852
## 1028 37.848001
## 1029 38.286032
## 1030 38.717068
## 1031 39.101595
## 1032 39.515068
## 1033 39.919598
## 1034 40.309305
## 1035 40.692887
## 1036 41.067329
## 1037 41.432331
## 1038 41.787682
## 1039 42.133252
## 1040 42.469021
## 1041  1.048945
## 1042 10.697658
## 1043 14.944029
## 1044 17.805967
## 1045 20.090346
## 1046 22.087422
## 1047 23.868573
## 1048 25.430939
## 1049 26.806252
## 1050 28.037892
## 1051 29.131120
## 1052 30.206315
## 1053 31.252054
## 1054 32.247130
## 1055 33.191003
## 1056 34.089077
## 1057 34.953474
## 1058 35.809857
## 1059 36.650093
## 1060 36.679601
## 1061 36.708756
## 1062 37.507484
## 1063 38.296076
## 1064 39.096935
## 1065 39.850816
## 1066 40.570817
## 1067 41.290416
## 1068 41.955601
## 1069 42.589894
## 1070 43.214840
## 1071 43.783301
## 1072 44.333314
## 1073 44.838708
## 1074 45.320354
## 1075 45.793582
## 1076 46.223864
## 1077 46.629094
## 1078 47.026357
## 1079 47.388930
## 1080 47.743505
## 1081  1.140502
## 1082  9.236164
## 1083 13.481307
## 1084 16.348477
## 1085 18.416881
## 1086 19.973858
## 1087 21.175983
## 1088 22.121876
## 1089 22.891842
## 1090 23.575666
## 1091 24.287994
## 1092 25.076463
## 1093 25.987869
## 1094 26.876322
## 1095 27.732011
## 1096 28.536979
## 1097 29.260671
## 1098 29.921790
## 1099 30.553772
## 1100 30.602417
## 1101 30.647480
## 1102 31.126422
## 1103 31.567046
## 1104 32.005434
## 1105 32.368600
## 1106 32.730295
## 1107 33.031272
## 1108 33.328874
## 1109 33.575856
## 1110 33.819617
## 1111 34.021604
## 1112 34.220686
## 1113 34.385439
## 1114 34.547666
## 1115 34.681828
## 1116 34.813860
## 1117 34.922999
## 1118 35.030360
## 1119 35.119076
## 1120 35.206320
## 1121  1.037434
## 1122 12.528194
## 1123 18.337401
## 1124 22.074665
## 1125 24.809734
## 1126 26.987833
## 1127 28.845556
## 1128 30.524305
## 1129 32.119602
## 1130 33.836257
## 1131 35.342667
## 1132 36.674633
## 1133 37.852600
## 1134 38.923979
## 1135 40.006351
## 1136 40.930987
## 1137 41.835568
## 1138 42.689477
## 1139 43.519738
## 1140 43.567459
## 1141 43.610705
## 1142 44.315044
## 1143 45.014485
## 1144 45.706615
## 1145 46.431771
## 1146 47.105211
## 1147 47.761953
## 1148 48.411957
## 1149 49.091159
## 1150 49.718933
## 1151 50.334946
## 1152 50.942205
## 1153 51.567634
## 1154 52.148546
## 1155 52.718525
## 1156 53.277465
## 1157 53.859175
## 1158 54.395201
## 1159 54.922919
## 1160 55.465666
# show asymptotic estimates
birds_inext$AsyEst
##    Assemblage         Diversity  Observed Estimator       s.e.       LCL
## 1        BE10  Species richness 15.000000 17.656604  5.2838832 15.000000
## 2        BE10 Shannon diversity  4.477834  4.637426  0.4111905  3.831508
## 3        BE10 Simpson diversity  2.522903  2.537541  0.2206080  2.105157
## 4        BE11  Species richness 32.000000 40.978723 12.1186688 32.000000
## 5        BE11 Shannon diversity 15.106089 15.873309  1.0389332 13.837037
## 6        BE11 Simpson diversity  8.586257  8.743437  0.8410422  7.095024
## 7        BE12  Species richness 21.000000 21.663477  3.1741859 21.000000
## 8        BE12 Shannon diversity 12.056420 12.708104  0.9609760 10.824625
## 9        BE12 Simpson diversity  8.084583  8.369657  0.9271768  6.552424
## 10       BE13  Species richness 42.000000 54.035178 13.7833313 42.000000
## 11       BE13 Shannon diversity 23.597320 25.773235  1.4725405 22.887109
## 12       BE13 Simpson diversity 17.905539 18.866212  1.2014571 16.511399
## 13       BE14  Species richness 46.000000 59.960674 12.3297853 46.000000
## 14       BE14 Shannon diversity 24.539775 26.883599  1.6502897 23.649090
## 15       BE14 Simpson diversity 16.693361 17.465451  1.4989352 14.527591
## 16       BE15  Species richness 41.000000 52.994540 11.0193056 41.000000
## 17       BE15 Shannon diversity 29.495851 35.477035  3.0407439 29.517286
## 18       BE15 Simpson diversity 23.275732 27.152993  2.7620146 21.739544
## 19       BE16  Species richness 25.000000 26.495690  3.0122004 25.000000
## 20       BE16 Shannon diversity 12.284503 12.775183  0.7743281 11.257528
## 21       BE16 Simpson diversity  7.426959  7.567114  0.6234107  6.345251
## 22       BE17  Species richness 31.000000 31.082935  2.8380452 31.000000
## 23       BE17 Shannon diversity 22.478066 24.240311  1.5259179 21.249567
## 24       BE17 Simpson diversity 17.691778 19.235398  1.7439206 15.817377
## 25       BE18  Species richness 47.000000 72.530811 18.4683889 47.000000
## 26       BE18 Shannon diversity 19.613692 21.717714  1.6841810 18.416780
## 27       BE18 Simpson diversity 10.576329 10.858120  1.1332943  8.636904
## 28       BE19  Species richness 37.000000 39.658937  5.6139682 37.000000
## 29       BE19 Shannon diversity 18.348002 19.482358  1.2053260 17.119962
## 30       BE19 Simpson diversity  9.926195 10.190623  1.0923752  8.049607
## 31        BE2  Species richness 32.000000 34.993088  6.2696081 32.000000
## 32        BE2 Shannon diversity 17.622988 18.391735  0.8094060 16.805328
## 33        BE2 Simpson diversity 13.375657 13.769197  0.7367718 12.325151
## 34       BE20  Species richness 20.000000 44.335570 20.1488658 20.000000
## 35       BE20 Shannon diversity  7.779758  8.839153  1.2989638  6.293231
## 36       BE20 Simpson diversity  3.955282  4.035871  0.6189173  2.822816
## 37       BE21  Species richness 35.000000 41.233289  6.5158357 35.000000
## 38       BE21 Shannon diversity 21.832030 23.108387  1.1887745 20.778432
## 39       BE21 Simpson diversity 15.823077 16.477912  1.1868561 14.151716
## 40       BE22  Species richness 23.000000 25.240302  4.2963033 23.000000
## 41       BE22 Shannon diversity 12.812872 13.553146  0.9215132 11.747014
## 42       BE22 Simpson diversity  8.494949  8.779817  0.9400604  6.937332
## 43       BE23  Species richness 21.000000 26.972973  7.2820913 21.000000
## 44       BE23 Shannon diversity 10.713187 11.393252  1.0463594  9.342425
## 45       BE23 Simpson diversity  6.764205  6.945357  0.7601762  5.455439
## 46       BE24  Species richness 20.000000 20.664530  3.3429657 20.000000
## 47       BE24 Shannon diversity  6.195198  6.407189  0.5493655  5.330453
## 48       BE24 Simpson diversity  3.026866  3.046722  0.2894437  2.479423
## 49       BE25  Species richness 29.000000 32.485232  8.1481005 29.000000
## 50       BE25 Shannon diversity 14.251109 15.343542  1.1542796 13.081196
## 51       BE25 Simpson diversity  8.672070  8.963462  0.9966166  7.010129
## 52       BE26  Species richness 26.000000 28.491803  6.8412210 26.000000
## 53       BE26 Shannon diversity 10.380759 10.906455  0.8265873  9.286373
## 54       BE26 Simpson diversity  5.580719  5.666096  0.6293228  4.432646
## 55       BE27  Species richness 39.000000 55.845833 15.4806207 39.000000
## 56       BE27 Shannon diversity 18.343938 20.174817  1.3572281 17.514699
## 57       BE27 Simpson diversity 11.624552 12.035723  1.0077976 10.060476
## 58       BE28  Species richness 30.000000 35.977528  8.4449696 30.000000
## 59       BE28 Shannon diversity 17.374372 18.650980  1.2897298 16.123156
## 60       BE28 Simpson diversity 12.443533 13.002929  1.1412450 10.766130
## 61       BE29  Species richness 22.000000 22.663923  3.4136344 22.000000
## 62       BE29 Shannon diversity 13.352550 13.998786  0.9652168 12.106995
## 63       BE29 Simpson diversity  9.224965  9.549529  1.0463894  7.498644
## 64        BE3  Species richness 40.000000 44.883333 15.0162065 40.000000
## 65        BE3 Shannon diversity 27.001927 29.282369  1.6581646 26.032427
## 66        BE3 Simpson diversity 20.738004 22.235932  1.6941767 18.915407
## 67       BE30  Species richness 28.000000 43.068139 15.5790086 28.000000
## 68       BE30 Shannon diversity 11.649885 12.687302  1.0800223 10.570498
## 69       BE30 Simpson diversity  7.142742  7.312241  0.7632264  5.816344
## 70        BE4  Species richness 32.000000 44.469880 10.0514306 32.000000
## 71        BE4 Shannon diversity 20.152640 21.220586  1.0474780 19.167567
## 72        BE4 Simpson diversity 15.525557 16.090092  0.9257880 14.275581
## 73        BE5  Species richness 17.000000 19.238693  4.8370130 17.000000
## 74        BE5 Shannon diversity  5.737908  6.031244  0.6748633  4.708536
## 75        BE5 Simpson diversity  2.816772  2.842857  0.3249637  2.205940
## 76        BE6  Species richness 26.000000 36.615385  7.8502229 26.000000
## 77        BE6 Shannon diversity 11.169507 12.249531  1.1566485  9.982541
## 78        BE6 Simpson diversity  5.992244  6.140331  0.7516773  4.667070
## 79        BE7  Species richness 28.000000 34.388148 10.9293266 28.000000
## 80        BE7 Shannon diversity  7.029619  7.275117  0.4954925  6.303969
## 81        BE7 Simpson diversity  3.438355  3.453980  0.2316975  2.999861
## 82        BE8  Species richness 24.000000 25.493151  4.5385568 24.000000
## 83        BE8 Shannon diversity 12.662098 13.446817  1.1589191 11.175377
## 84        BE8 Simpson diversity  7.016971  7.216143  1.0019548  5.252347
## 85        BE9  Species richness 33.000000 48.948387 17.7702002 33.000000
## 86        BE9 Shannon diversity 19.238117 20.809633  1.2894076 18.282441
## 87        BE9 Simpson diversity 13.708987 14.297015  1.1990893 11.946843
##           UCL
## 1   28.012824
## 2    5.443345
## 3    2.969925
## 4   64.730878
## 5   17.909580
## 6   10.391849
## 7   27.884767
## 8   14.591582
## 9   10.186890
## 10  81.050011
## 11  28.659361
## 12  21.221024
## 13  84.126609
## 14  30.118107
## 15  20.403310
## 16  74.591983
## 17  41.436783
## 18  32.566442
## 19  32.399494
## 20  14.292839
## 21   8.788976
## 22  36.645401
## 23  27.231055
## 24  22.653420
## 25 108.728188
## 26  25.018648
## 27  13.079336
## 28  50.662113
## 29  21.844753
## 30  12.331639
## 31  47.281294
## 32  19.978142
## 33  15.213243
## 34  83.826622
## 35  11.385075
## 36   5.248927
## 37  54.004092
## 38  25.438342
## 39  18.804107
## 40  33.660902
## 41  15.359279
## 42  10.622301
## 43  41.245610
## 44  13.444079
## 45   8.435275
## 46  27.216622
## 47   7.483926
## 48   3.614021
## 49  48.455216
## 50  17.605889
## 51  10.916794
## 52  41.900350
## 53  12.526536
## 54   6.899546
## 55  86.187292
## 56  22.834935
## 57  14.010970
## 58  52.529364
## 59  21.178804
## 60  15.239728
## 61  29.354524
## 62  15.890576
## 63  11.600415
## 64  74.314557
## 65  32.532312
## 66  25.556457
## 67  73.602435
## 68  14.804107
## 69   8.808137
## 70  64.170321
## 71  23.273606
## 72  17.904603
## 73  28.719065
## 74   7.353952
## 75   3.479774
## 76  52.001539
## 77  14.516520
## 78   7.613591
## 79  55.809235
## 80   8.246264
## 81   3.908099
## 82  34.388559
## 83  15.718256
## 84   9.179938
## 85  83.777339
## 86  23.336826
## 87  16.647187
### a little workaround to create 29 colours and dot types ####
library(scico)
library(paletteer)
paletteer::paletteer_c("scico::berlin", 29)
## <colors>
## #9EB0FFFF #89ADF4FF #73A9EAFF #5CA4DCFF #4799C9FF #3889B2FF #2F789CFF #286886FF #225771FF #1C475CFF #153748FF #122935FF #0F1C24FF #111216FF #180B09FF #220C01FF #2C0E00FF #381000FF #461300FF #561A05FF #68240FFF #7B321CFF #8E422EFF #A05342FF #B36556FF #C5766BFF #D88881FF #EB9A96FF #FFACACFF
my_palette_inext <- paletteer::paletteer_c("scico::berlin", 29)
# Species accumulation curves
ggiNEXT(birds_inext, type=1, facet.var="None") + # not all plots sampled equally
scale_color_manual(values = my_palette_inext) +
  scale_fill_manual(values = my_palette_inext) +
  scale_shape_manual(values = seq(1:29))

# get minimum number of individuals from data 
min_abund <- min(birds_inext$DataInfo$n)
bird_data2 <- as.data.frame(bird_data)
str(bird_data2)
## 'data.frame':    70 obs. of  29 variables:
##  $ BE10: int  0 0 0 0 0 0 0 15 0 0 ...
##  $ BE11: int  0 0 0 0 1 0 0 21 0 0 ...
##  $ BE12: int  0 0 0 0 0 0 0 4 0 0 ...
##  $ BE13: int  0 3 0 4 2 0 0 0 1 0 ...
##  $ BE14: int  0 0 0 0 2 2 11 0 1 1 ...
##  $ BE15: int  0 2 5 5 0 9 1 0 0 1 ...
##  $ BE16: int  0 0 0 0 0 0 0 0 0 0 ...
##  $ BE17: int  0 0 3 0 0 21 0 0 0 3 ...
##  $ BE18: int  1 0 4 0 2 1 0 3 0 1 ...
##  $ BE19: int  0 0 0 2 0 0 0 12 0 0 ...
##  $ BE2 : int  2 0 0 0 1 0 0 0 0 0 ...
##  $ BE20: int  0 0 0 0 0 0 0 4 0 0 ...
##  $ BE21: int  1 0 0 1 2 0 0 3 0 0 ...
##  $ BE22: int  0 0 0 0 1 0 0 5 0 0 ...
##  $ BE23: int  0 0 0 0 0 0 0 5 0 0 ...
##  $ BE24: int  0 0 0 0 0 0 0 0 0 0 ...
##  $ BE25: int  0 0 0 0 3 0 0 12 0 0 ...
##  $ BE26: int  0 0 0 0 1 0 0 0 0 0 ...
##  $ BE27: int  0 0 0 0 1 0 0 19 0 3 ...
##  $ BE28: int  0 0 0 1 0 0 0 0 1 0 ...
##  $ BE29: int  0 0 0 0 0 0 0 0 0 0 ...
##  $ BE3 : int  0 2 0 0 0 0 1 0 0 0 ...
##  $ BE30: int  0 0 0 0 1 1 0 0 0 0 ...
##  $ BE4 : int  0 0 0 0 4 0 0 0 0 0 ...
##  $ BE5 : int  0 0 0 0 0 0 0 5 0 0 ...
##  $ BE6 : int  0 0 0 0 0 0 0 2 0 0 ...
##  $ BE7 : int  0 0 0 0 0 0 0 37 0 0 ...
##  $ BE8 : int  0 0 0 0 0 0 0 0 0 0 ...
##  $ BE9 : int  0 0 0 3 0 0 0 0 0 0 ...
# use 2x minimum number of individuals for rarefaction/extrapolation
birds_estINEXTsize <- estimateD(bird_data, q = 0, datatype = "abundance", base = "size", level = (min_abund * 2),
          conf = 0.95)

birds_estINEXTsize
##    Assemblage   m        Method Order.q        SC       qD   qD.LCL   qD.UCL
## 1        BE10 298 Extrapolation       0 0.9875504 15.45303 12.31674 18.58933
## 2        BE11 298   Rarefaction       0 0.9812052 29.99164 27.26469 32.71859
## 3        BE12 298 Extrapolation       0 0.9973627 21.47799 18.97115 23.98482
## 4        BE13 298   Rarefaction       0 0.9563662 40.55495 35.96905 45.14086
## 5        BE14 298   Rarefaction       0 0.9539804 43.52956 37.92093 49.13819
## 6        BE15 298 Extrapolation       0 0.9688270 48.44774 40.91002 55.98547
## 7        BE16 298   Rarefaction       0 0.9888200 24.50655 22.58660 26.42649
## 8        BE17 298 Extrapolation       0 0.9999693 31.08237 28.03350 34.13124
## 9        BE18 298   Rarefaction       0 0.9498872 43.66224 38.27635 49.04814
## 10       BE19 298   Rarefaction       0 0.9846972 36.37941 33.65292 39.10589
## 11        BE2 298   Rarefaction       0 0.9765820 29.49552 26.98122 32.00982
## 12       BE20 298 Extrapolation       0 0.9648219 26.07815 17.18559 34.97071
## 13       BE21 298   Rarefaction       0 0.9829719 33.86571 30.91206 36.81936
## 14       BE22 298 Extrapolation       0 0.9912065 23.70803 20.22622 27.18983
## 15       BE23 298 Extrapolation       0 0.9857117 22.22210 17.54285 26.90134
## 16       BE24 298   Rarefaction       0 0.9927384 19.90441 17.96657 21.84225
## 17       BE25 298 Extrapolation       0 0.9824966 30.40233 26.50594 34.29871
## 18       BE26 298   Rarefaction       0 0.9829562 25.88297 22.33235 29.43359
## 19       BE27 298   Rarefaction       0 0.9569143 38.40692 33.43031 43.38353
## 20       BE28 298 Extrapolation       0 0.9800707 30.65641 26.45721 34.85560
## 21       BE29 298 Extrapolation       0 0.9958716 22.32677 20.24525 24.40828
## 22        BE3 298 Extrapolation       0 0.9767625 40.09409 36.75268 43.43549
## 23       BE30 298 Extrapolation       0 0.9622226 29.26520 23.83858 34.69183
## 24        BE4 298   Rarefaction       0 0.9845079 30.43505 27.44444 33.42565
## 25        BE5 298 Extrapolation       0 0.9922946 18.08674 14.54388 21.62959
## 26        BE6 298 Extrapolation       0 0.9723246 28.94929 22.48322 35.41537
## 27        BE7 298   Rarefaction       0 0.9745556 23.25916 20.47084 26.04748
## 28        BE8 298 Extrapolation       0 0.9934025 24.76742 21.79672 27.73812
## 29        BE9 298   Rarefaction       0 0.9737002 32.68743 28.38361 36.99125
# extract species richness 
birds_est_sprich <- as.data.frame(cbind(site = colnames(bird_data),
                                        sp_rich = birds_estINEXTsize$qD))

birds_est_sprich
##    site          sp_rich
## 1  BE10 15.4530328501637
## 2  BE11 29.9916380379789
## 3  BE12 21.4779853454816
## 4  BE13 40.5549538797391
## 5  BE14 43.5295555469924
## 6  BE15 48.4477427535246
## 7  BE16 24.5065491505327
## 8  BE17 31.0823712907411
## 9  BE18 43.6622413155036
## 10 BE19 36.3794068650737
## 11  BE2 29.4955218592629
## 12 BE20 26.0781501489565
## 13 BE21 33.8657074731005
## 14 BE22 23.7080269811234
## 15 BE23 22.2220973005055
## 16 BE24 19.9044088258824
## 17 BE25 30.4023268778697
## 18 BE26 25.8829734412778
## 19 BE27 38.4069200309924
## 20 BE28 30.6564055680879
## 21 BE29 22.3267691780308
## 22  BE3 40.0940884455696
## 23 BE30 29.2652048160577
## 24  BE4 30.4350475265505
## 25  BE5 18.0867385837243
## 26  BE6  28.949294781448
## 27  BE7 23.2591575105719
## 28  BE8 24.7674210668556
## 29  BE9 32.6874308792799

Statistics!!

Question: Does urbanization have an effect on bird diversity?

We are going to run a model with the number of species as response and urbanization variables as explanatory variables.

Load environmental data

env_cov <- read.csv(here("data","data_berlin","animal_data",
                         "birds_transects_allenvir_100m.csv") )
head(env_cov)
##   site                                 patch.lu   patch.area    pop_100m
## 1 BE10                      park and green area    4762.0000 240.2320426
## 2 BE11                      park and green area   22107.5781  41.9517209
## 3 BE12                      park and green area     623.8551  64.4663933
## 4 BE13                      park and green area  700876.6900   0.2617629
## 5 BE14 brownfield with meadow, shrubs and trees 1119275.5140   0.1640317
## 6 BE15                                 farmland  754802.5036   0.2794827
##   distance_water impervious_surface    light    noise  open_green temp_cooldown
## 1      887.99534       85.708155200 254.0484 52.66811 0.003755813    -0.4034781
## 2      182.70408       48.086350720 253.5432 61.36624 0.147960262    -0.5058560
## 3      846.25954       56.269183550 253.5924 53.33908 0.116351677    -0.4798068
## 4       89.61534        0.003294742  97.9062 22.78204 0.062367094    -0.7988746
## 5      849.76658        7.314871159 248.0444 35.69318 0.517760575    -0.6104055
## 6     1114.94496        3.692755106 238.8065 62.04909 0.692938283    -0.8771918
##   temp_day temp_night tree_cover
## 1 21.85441   13.61666   6.983366
## 2 21.74545   13.03693  22.487329
## 3 21.33945   12.66102  19.374208
## 4 28.82046   16.64645  70.116086
## 5 21.35707   10.84691  36.390875
## 6 30.88368   14.75161  19.789344
str(env_cov)
## 'data.frame':    29 obs. of  13 variables:
##  $ site              : chr  "BE10" "BE11" "BE12" "BE13" ...
##  $ patch.lu          : chr  "park and green area" "park and green area" "park and green area" "park and green area" ...
##  $ patch.area        : num  4762 22108 624 700877 1119276 ...
##  $ pop_100m          : num  240.232 41.952 64.466 0.262 0.164 ...
##  $ distance_water    : num  888 182.7 846.3 89.6 849.8 ...
##  $ impervious_surface: num  85.70816 48.08635 56.26918 0.00329 7.31487 ...
##  $ light             : num  254 253.5 253.6 97.9 248 ...
##  $ noise             : num  52.7 61.4 53.3 22.8 35.7 ...
##  $ open_green        : num  0.00376 0.14796 0.11635 0.06237 0.51776 ...
##  $ temp_cooldown     : num  -0.403 -0.506 -0.48 -0.799 -0.61 ...
##  $ temp_day          : num  21.9 21.7 21.3 28.8 21.4 ...
##  $ temp_night        : num  13.6 13 12.7 16.6 10.8 ...
##  $ tree_cover        : num  6.98 22.49 19.37 70.12 36.39 ...
summary(env_cov)
##      site             patch.lu           patch.area         pop_100m      
##  Length:29          Length:29          Min.   :    624   Min.   :  0.000  
##  Class :character   Class :character   1st Qu.:  22108   1st Qu.:  3.397  
##  Mode  :character   Mode  :character   Median : 332616   Median : 41.952  
##                                        Mean   :1101702   Mean   : 69.344  
##                                        3rd Qu.: 700877   3rd Qu.:118.731  
##                                        Max.   :6995421   Max.   :289.615  
##  distance_water    impervious_surface     light            noise      
##  Min.   :  89.62   Min.   : 0.000     Min.   : 97.91   Min.   :22.78  
##  1st Qu.: 308.95   1st Qu.: 7.315     1st Qu.:238.81   1st Qu.:50.24  
##  Median : 581.60   Median :48.086     Median :253.54   Median :55.76  
##  Mean   : 676.67   Mean   :45.063     Mean   :234.06   Mean   :52.80  
##  3rd Qu.: 894.21   3rd Qu.:69.303     3rd Qu.:254.46   3rd Qu.:60.28  
##  Max.   :1616.58   Max.   :89.406     Max.   :255.00   Max.   :65.45  
##    open_green       temp_cooldown        temp_day       temp_night   
##  Min.   :0.000000   Min.   :-0.9972   Min.   :19.27   Min.   :10.85  
##  1st Qu.:0.004748   1st Qu.:-0.7463   1st Qu.:21.75   1st Qu.:12.71  
##  Median :0.062367   Median :-0.5619   Median :24.36   Median :13.72  
##  Mean   :0.153202   Mean   :-0.6014   Mean   :24.53   Mean   :14.08  
##  3rd Qu.:0.147960   3rd Qu.:-0.4798   3rd Qu.:27.12   3rd Qu.:14.75  
##  Max.   :0.998552   Max.   :-0.3755   Max.   :30.94   Max.   :17.48  
##    tree_cover     
##  Min.   : 0.1246  
##  1st Qu.:14.9442  
##  Median :24.7570  
##  Mean   :30.7382  
##  3rd Qu.:37.6015  
##  Max.   :79.3415

We are going to use three variables to define the ubanization gradient: tree cover, imperviousness and noise.

Prepare the data for the model

colnames(env_cov)
##  [1] "site"               "patch.lu"           "patch.area"        
##  [4] "pop_100m"           "distance_water"     "impervious_surface"
##  [7] "light"              "noise"              "open_green"        
## [10] "temp_cooldown"      "temp_day"           "temp_night"        
## [13] "tree_cover"
# Put all data together: add environmental variables to birds data
#my_model_data <- left_join(birds_est_sprich, env_cov, by = "site")
my_model_data <- merge(birds_est_sprich,env_cov,by = "site")

#select response and explanatory variables
#my_model_data <- dplyr::select(my_model_data, 
#                               c(site, sp_rich, tree_cover, impervious_surface, noise))

my_model_data <- my_model_data[, c('site', 'sp_rich', 'tree_cover', 
                                   'impervious_surface', 'noise')]

str(my_model_data) # do you also have a chr for sp_rich?
## 'data.frame':    29 obs. of  5 variables:
##  $ site              : chr  "BE10" "BE11" "BE12" "BE13" ...
##  $ sp_rich           : chr  "15.4530328501637" "29.9916380379789" "21.4779853454816" "40.5549538797391" ...
##  $ tree_cover        : num  6.98 22.49 19.37 70.12 36.39 ...
##  $ impervious_surface: num  85.70816 48.08635 56.26918 0.00329 7.31487 ...
##  $ noise             : num  52.7 61.4 53.3 22.8 35.7 ...
my_model_data$sp_rich <- as.numeric(my_model_data$sp_rich)
str(my_model_data)
## 'data.frame':    29 obs. of  5 variables:
##  $ site              : chr  "BE10" "BE11" "BE12" "BE13" ...
##  $ sp_rich           : num  15.5 30 21.5 40.6 43.5 ...
##  $ tree_cover        : num  6.98 22.49 19.37 70.12 36.39 ...
##  $ impervious_surface: num  85.70816 48.08635 56.26918 0.00329 7.31487 ...
##  $ noise             : num  52.7 61.4 53.3 22.8 35.7 ...

Define the model

# explore relationships between variables
ggplot(my_model_data, aes(y = sp_rich, x = tree_cover)) +
  geom_point() +
  geom_smooth()

ggplot(my_model_data, aes(y = sp_rich, x = impervious_surface)) +
  geom_point() +
  geom_smooth()

ggplot(my_model_data, aes(y = sp_rich, x = noise)) +
  geom_point() +
  geom_smooth()

# build linear regression model
birds_model <- glm(sp_rich ~ tree_cover + impervious_surface + noise,
                    family = "gaussian", 
                    data = my_model_data)

# View results of the model
summary(birds_model)
## 
## Call:
## glm(formula = sp_rich ~ tree_cover + impervious_surface + noise, 
##     family = "gaussian", data = my_model_data)
## 
## Coefficients:
##                    Estimate Std. Error t value Pr(>|t|)    
## (Intercept)        38.50520   10.13065   3.801 0.000825 ***
## tree_cover         -0.04464    0.08261  -0.540 0.593673    
## impervious_surface -0.19014    0.05585  -3.405 0.002240 ** 
## noise               0.02430    0.16490   0.147 0.884030    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for gaussian family taken to be 43.14488)
## 
##     Null deviance: 1882.4  on 28  degrees of freedom
## Residual deviance: 1078.6  on 25  degrees of freedom
## AIC: 197.17
## 
## Number of Fisher Scoring iterations: 2
plot(birds_model)

# bird diversity decreases with increasing urbanisation


# view the regression line through impervious surface only:
ggplot(my_model_data, aes(y = sp_rich, x = impervious_surface)) +
  geom_point(size=7,alpha=0.5) +
  geom_smooth(method = "lm", se = TRUE, col='red') +
  xlab('impervious surface')

PREDICT the model in Berlin

Load environmental rasters

##
## set working directory for maps, e.g. here geoTiffs ##
tree_raster   <- rast(here::here("data","data_berlin","geo_raster_current_gtif","tree_cover_density_2012_100m_3035.tif"))
imperv_raster <- rast(here::here("data","data_berlin","geo_raster_current_gtif","imperviousness_2012_100m_3035.tif"))
noise_raster  <- rast(here::here("data","data_berlin","geo_raster_current_gtif","noise_daynight_2017_100m_3035.tif"))
water_raster  <- rast(here::here("data","data_berlin","geo_raster_current_gtif","water_bodies_2010_100m_3035.tif"))

#put all environmental rasters together for the prediction
#many_rasters <- list(x,x)

## this works
my_env_stack <- rast(list(tree_raster, imperv_raster, noise_raster))

# the raster the same name as the variables in the model
names(my_env_stack) <- c("tree_cover", "impervious_surface", "noise")


# the model is fitted with environmental predictor values between 0 and 100
# e.g. tree cover = 88.5 % in a 100*100 m cell
# check: my_model_data
# However, our rasters do not contain decimals (for PC storage and memory reasons)
# so we need to transform them to decimals before we predict our model
# to the whole of Berlin:

my_env_stack_2 <- my_env_stack/100 # correct values of the rasters

Predict the model

sp_rich_pred <- terra::predict(object = my_env_stack_2, 
                                model = birds_model)
sp_rich_pred
## class       : SpatRaster 
## dimensions  : 570, 657, 1  (nrow, ncol, nlyr)
## resolution  : 100, 100  (x, y)
## extent      : 4521040, 4586740, 3243800, 3300800  (xmin, xmax, ymin, ymax)
## coord. ref. : +proj=laea +lat_0=52 +lon_0=10 +x_0=4321000 +y_0=3210000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs 
## source(s)   : memory
## name        :     lyr1 
## min value   : 16.45406 
## max value   : 40.44094
sp_rich_pred[sp_rich_pred < 0] <- 0 # Abundance cannot be < 0

# define colors
my_palette <- c("#440154FF", "#2D708EFF", "#56C667FF", "#DCE318FF", "#FDE725FF")

# plot map
plot(sp_rich_pred, col = my_palette, breaks = c(seq(5, 55, by = 10)))
plot(water_raster, col = "darkslategray1",  legend=FALSE, add = TRUE)

# writeRaster(sp_rich_pred, my_output_directory)

EXTRA INFO

In iNEXT package also calculates asymptotic diversity metrics. The estimated asymptotes area calculated via the functions

  • ChaoRichness() for q = 0
  • ChaoShannon() for q = 1
  • EstSimpson() for q = 2

For example, to estimate the species richness

ChaoRichness(spider, datatype = "abundance")
##         Observed Estimator Est_s.e. 95% Lower 95% Upper
## Girdled       26    43.893   14.306    30.511    96.971
## Logged        37    61.403   18.532    43.502   128.583

Exercise

Some exercises.

###
## Diversity Analysis Exercise

# 1. Load the data
## - 1.1. the bird data 'birds_berlin_exercise_planillo2021.csv' and explore it (use head(), str())
## - 1.2. the environmental data 'birds_transects_allenvir_100m.csv' and explore it  

# 2. Estimate alpha diversity:
## - 2.1. Choose the diversity index: q = 1 or q = 2
## - 2.2. Rarefy the samples to the appropriate size and estimate the rarefied values

# 3. Predict Hill number 1 or 2 in Berlin
## - 3.1. Choose environmental variables (up to 3) 
## - 3.2. Run model with the diversity values and the environmental variables
## - 3.3. Plot the predictions

#~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~#
#### for those who like challenges
# 4. Estimate beta diversity:
## 4.1. Jaccard dissimilarity (for each pair of sites)
## 4.2. Bray-Curtis dissimilarity (for each pair of sites) 
## 4.3. Compare the output of both beta-diversity metrics



Session Info
Sys.time()
## [1] "2024-03-15 11:50:28 CET"
#git2r::repository() ## uncomment if you are using GitHub
sessionInfo()
## R version 4.3.2 (2023-10-31 ucrt)
## Platform: x86_64-w64-mingw32/x64 (64-bit)
## Running under: Windows 10 x64 (build 19045)
## 
## Matrix products: default
## 
## 
## locale:
## [1] LC_COLLATE=English_United Kingdom.utf8 
## [2] LC_CTYPE=English_United Kingdom.utf8   
## [3] LC_MONETARY=English_United Kingdom.utf8
## [4] LC_NUMERIC=C                           
## [5] LC_TIME=C                              
## 
## time zone: Europe/Berlin
## tzcode source: internal
## 
## attached base packages:
## [1] stats4    stats     graphics  grDevices utils     datasets  methods  
## [8] base     
## 
## other attached packages:
##  [1] paletteer_1.6.0 scico_1.5.0     here_1.0.1      terra_1.7-55   
##  [5] lubridate_1.9.3 forcats_1.0.0   stringr_1.5.1   dplyr_1.1.4    
##  [9] purrr_1.0.2     readr_2.1.4     tidyr_1.3.0     tibble_3.2.1   
## [13] ggplot2_3.4.4   tidyverse_2.0.0 sads_0.6.3      bbmle_1.0.25.1 
## [17] iNEXT_3.0.0     vegan_2.6-4     lattice_0.21-9  permute_0.9-7  
## [21] knitr_1.45     
## 
## loaded via a namespace (and not attached):
##  [1] tidyselect_1.2.0    farver_2.1.1        fastmap_1.1.1      
##  [4] pracma_2.4.4        digest_0.6.33       timechange_0.2.0   
##  [7] lifecycle_1.0.4     cluster_2.1.4       magrittr_2.0.3     
## [10] compiler_4.3.2      rlang_1.1.2         sass_0.4.8         
## [13] tools_4.3.2         utf8_1.2.4          yaml_2.3.7         
## [16] labeling_0.4.3      plyr_1.8.9          withr_2.5.2        
## [19] numDeriv_2016.8-1.1 grid_4.3.2          fansi_1.0.5        
## [22] colorspace_2.1-0    scales_1.3.0        MASS_7.3-60        
## [25] poweRlaw_0.80.0     cli_3.6.1           mvtnorm_1.2-4      
## [28] crayon_1.5.2        rmarkdown_2.25      ragg_1.2.6         
## [31] generics_0.1.3      rstudioapi_0.15.0   reshape2_1.4.4     
## [34] tzdb_0.4.0          bdsmatrix_1.3-7     cachem_1.0.8       
## [37] splines_4.3.2       parallel_4.3.2      rmdformats_1.0.4   
## [40] vctrs_0.6.5         Matrix_1.6-4        jsonlite_1.8.8     
## [43] VGAM_1.1-10         bookdown_0.38       hms_1.1.3          
## [46] systemfonts_1.0.5   poilog_0.4.2        jquerylib_0.1.4    
## [49] glue_1.6.2          rematch2_2.1.2      codetools_0.2-19   
## [52] stringi_1.8.2       gtable_0.3.4        prismatic_1.1.1    
## [55] munsell_0.5.0       pillar_1.9.0        htmltools_0.5.7    
## [58] R6_2.5.1            textshaping_0.3.7   rprojroot_2.0.4    
## [61] evaluate_0.23       highr_0.10          bslib_0.6.1        
## [64] Rcpp_1.0.11         nlme_3.1-163        mgcv_1.9-0         
## [67] xfun_0.41           GUILDS_1.4.6        pkgconfig_2.0.3